Non Metrisable Manifolds

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Non-metrisable Manifolds

Author : David Gauld
Publisher : Springer
ISBN 13 : 9812872574
Total Pages : 214 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Non-metrisable Manifolds by : David Gauld

Download or read book Non-metrisable Manifolds written by David Gauld and published by Springer. This book was released on 2014-12-04 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not. The former, metrisable manifolds, and especially compact manifolds, have been intensively studied by topologists for over a century, whereas the latter, non-metrisable manifolds, are much more abundant but have a more modest history, having become of increasing interest only over the past 40 years or so. The first book on this topic, this book ranges from criteria for metrisability, dynamics on non-metrisable manifolds, Nyikos’s Bagpipe Theorem and whether perfectly normal manifolds are metrisable to structures on manifolds, especially the abundance of exotic differential structures and the dearth of foliations on the long plane. A rigid foliation of the Euclidean plane is described. This book is intended for graduate students and mathematicians who are curious about manifolds beyond the metrisability wall, and especially the use of Set Theory as a tool.

Proceedings of the KirbyFest

Author : Joel Hass
Publisher :
ISBN 13 :
Total Pages : 610 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Proceedings of the KirbyFest by : Joel Hass

Download or read book Proceedings of the KirbyFest written by Joel Hass and published by . This book was released on 1999 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proximity Approach to Problems in Topology and Analysis

Author : Somashekhar Naimpally
Publisher : Walter de Gruyter
ISBN 13 : 3486598600
Total Pages : 220 pages
Book Rating : 4.4/5 (865 download)

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Book Synopsis Proximity Approach to Problems in Topology and Analysis by : Somashekhar Naimpally

Download or read book Proximity Approach to Problems in Topology and Analysis written by Somashekhar Naimpally and published by Walter de Gruyter. This book was released on 2010-10-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch konzentriert das aktuelle Gesamtwissen zum Proximity-Konzept und stellt es dem Leser in gut strukturierter Form dar. Hauptaugenmerk liegt auf den vielfältigen Möglichkeiten, die sich aus dem Proximity-Konzept der räumlichen Nähe und seiner Verallgemeinerung im Nearness-Konzept ergeben.

Geometric Analysis on Real Analytic Manifolds

Author : Andrew D. Lewis
Publisher : Springer Nature
ISBN 13 : 3031379136
Total Pages : 323 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Geometric Analysis on Real Analytic Manifolds by : Andrew D. Lewis

Download or read book Geometric Analysis on Real Analytic Manifolds written by Andrew D. Lewis and published by Springer Nature. This book was released on 2023-12-09 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings. Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry.

Mathematical Chronicle

Author :
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis Mathematical Chronicle by :

Download or read book Mathematical Chronicle written by and published by . This book was released on 1990 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis on Real and Complex Manifolds

Author : R. Narasimhan
Publisher : Elsevier
ISBN 13 : 0080960227
Total Pages : 263 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Analysis on Real and Complex Manifolds by : R. Narasimhan

Download or read book Analysis on Real and Complex Manifolds written by R. Narasimhan and published by Elsevier. This book was released on 1985-12-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.

Dynamical Systems and Chaos

Author : Henk Broer
Publisher : Springer Science & Business Media
ISBN 13 : 1441968709
Total Pages : 313 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Dynamical Systems and Chaos by : Henk Broer

Download or read book Dynamical Systems and Chaos written by Henk Broer and published by Springer Science & Business Media. This book was released on 2010-10-20 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.

Author : New Zealand Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Newsletter by : New Zealand Mathematical Society

Download or read book Newsletter written by New Zealand Mathematical Society and published by . This book was released on 2002 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmonic Spaces

Author : Harold Stanley Ruse
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Harmonic Spaces by : Harold Stanley Ruse

Download or read book Harmonic Spaces written by Harold Stanley Ruse and published by . This book was released on 1961 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monografie matematiche

Author :
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Monografie matematiche by :

Download or read book Monografie matematiche written by and published by . This book was released on 1961 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fibrations and Bundles with Hilbert Cube Manifold Fibers

Author : Henryk Toruńczyk
Publisher : American Mathematical Soc.
ISBN 13 : 0821824716
Total Pages : 85 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fibrations and Bundles with Hilbert Cube Manifold Fibers by : Henryk Toruńczyk

Download or read book Fibrations and Bundles with Hilbert Cube Manifold Fibers written by Henryk Toruńczyk and published by American Mathematical Soc.. This book was released on 1989 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally contractible. This shows that Hurewicz fibrations with Hilbert cube manifold fibers over CW-complexes with compact fibers or proper fiber transport are bundles.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Actes du congrès international des mathématiciens, 1970

Author :
Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Actes du congrès international des mathématiciens, 1970 by :

Download or read book Actes du congrès international des mathématiciens, 1970 written by and published by . This book was released on 1971 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Atti Del ... Congresso Internazionale Dei Matematici ...

Author :
Publisher :
ISBN 13 :
Total Pages : 1790 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Atti Del ... Congresso Internazionale Dei Matematici ... by :

Download or read book Atti Del ... Congresso Internazionale Dei Matematici ... written by and published by . This book was released on 2006 with total page 1790 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundational Essays on Topological Manifolds, Smoothings, and Triangulations

Author : Robion C. Kirby
Publisher : Princeton University Press
ISBN 13 : 9780691081915
Total Pages : 376 pages
Book Rating : 4.0/5 (819 download)

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Book Synopsis Foundational Essays on Topological Manifolds, Smoothings, and Triangulations by : Robion C. Kirby

Download or read book Foundational Essays on Topological Manifolds, Smoothings, and Triangulations written by Robion C. Kirby and published by Princeton University Press. This book was released on 1977-05-21 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.

From Differential Geometry to Non-commutative Geometry and Topology

Author : Neculai S. Teleman
Publisher : Springer Nature
ISBN 13 : 3030284336
Total Pages : 398 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis From Differential Geometry to Non-commutative Geometry and Topology by : Neculai S. Teleman

Download or read book From Differential Geometry to Non-commutative Geometry and Topology written by Neculai S. Teleman and published by Springer Nature. This book was released on 2019-11-10 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.

Recent Progress in General Topology II

Author : M. Husek
Publisher : Elsevier
ISBN 13 : 0080929958
Total Pages : 651 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Recent Progress in General Topology II by : M. Husek

Download or read book Recent Progress in General Topology II written by M. Husek and published by Elsevier. This book was released on 2002-11-13 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents surveys describing recent developments in most of the primary subfields ofGeneral Topology and its applications to Algebra and Analysis during the last decade. It follows freelythe previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared inconnection with the Prague Topological Symposium, held in 2001. During the last 10 years the focusin General Topology changed and therefore the selection of topics differs slightly from thosechosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (includingInfinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as:R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.