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Author : Lev Semenovich Pontri︠a︡gin
Publisher : Unknown
Page : 128 pages
File Size : 44,5 Mb
Release : 1963
Category : Topology
ISBN : OCLC:221165770
Author : L. S. Pontryagin
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 1996-09-01
Category : Electronic
ISBN : 048669755X
Author : Lev Semenovich Pontri͡a︡gin
Publisher : Unknown
Page : 99 pages
File Size : 50,8 Mb
Release : 1952
Category : Combinatorial topology
ISBN : LCCN:lc52014408
Author : Lev S. Pontrjagin
Publisher : Unknown
Page : 99 pages
File Size : 55,9 Mb
Release : 1959
Category : Electronic
ISBN : OCLC:255634355
Author : L. S. Pontryagin
Publisher : Courier Corporation
Page : 112 pages
File Size : 48,9 Mb
Release : 2015-05-20
Category : Mathematics
ISBN : 9780486406855
Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.
Author : Leslie C. Glaser
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 1970
Category : Combinatorial topology
ISBN : LCCN:77011338
Author : Pavel S. Aleksandrov
Publisher : Courier Corporation
Page : 676 pages
File Size : 40,8 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 0486401790
Clearly written, well-organized, 3-part text begins by dealing with certain classic problems without using the formal techniques of homology theory and advances to the central concept, the Betti groups. Numerous detailed examples.
Author : C.Paul Bonnington,Charles H.C. Little
Publisher : Springer Science & Business Media
Page : 179 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461225409
This is not a traditional work on topological graph theory. No current graph or voltage graph adorns its pages. Its readers will not compute the genus (orientable or non-orientable) of a single non-planar graph. Their muscles will not flex under the strain of lifting walks from base graphs to derived graphs. What is it, then? It is an attempt to place topological graph theory on a purely combinatorial yet rigorous footing. The vehicle chosen for this purpose is the con cept of a 3-graph, which is a combinatorial generalisation of an imbedding. These properly edge-coloured cubic graphs are used to classify surfaces, to generalise the Jordan curve theorem, and to prove Mac Lane's characterisation of planar graphs. Thus they playa central role in this book, but it is not being suggested that they are necessarily the most effective tool in areas of topological graph theory not dealt with in this volume. Fruitful though 3-graphs have been for our investigations, other jewels must be examined with a different lens. The sole requirement for understanding the logical development in this book is some elementary knowledge of vector spaces over the field Z2 of residue classes modulo 2. Groups are occasionally mentioned, but no expertise in group theory is required. The treatment will be appreciated best, however, by readers acquainted with topology. A modicum of topology is required in order to comprehend much of the motivation we supply for some of the concepts introduced.
Author : Maurice Fréchet,Ky Fan
Publisher : Courier Corporation
Page : 148 pages
File Size : 45,9 Mb
Release : 2012-08-13
Category : Mathematics
ISBN : 9780486147888
An elementary text that can be understood by anyone with a background in high school geometry, Invitation to Combinatorial Topology offers a stimulating initiation to important topological ideas. This translation from the original French does full justice to the text's coherent presentation as well as to its rich historical content. Subjects include the problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, and topological polygons. Considerations of the topological classification of closed surfaces cover elementary operations, use of normal forms of polyhedra, reduction to normal form, and application to the geometric theory of functions. 1967 edition. 108 figures. Bibliography. Index.
Author : Maurice Fréchet,Ky Fan
Publisher : Unknown
Page : 148 pages
File Size : 45,9 Mb
Release : 1967
Category : Combinatorial topology
ISBN : UOM:39015067285166
Author : V.G. Boltyanskii,V.A. Efremovich
Publisher : Springer Science & Business Media
Page : 160 pages
File Size : 41,7 Mb
Release : 2001-03-30
Category : Mathematics
ISBN : 0387951148
Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.
Author : Henry H. Crapo,Gian-Carlo Rota
Publisher : MIT Press (MA)
Page : 350 pages
File Size : 42,5 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015014350774
A major aim of this book is to present the theory of combinatorial geometry in a form accessible to mathematicians working in disparate subjects.
Author : Pavel S. Aleksandrov
Publisher : Unknown
Page : 128 pages
File Size : 45,9 Mb
Release : 1965
Category : Set theory
ISBN : LCCN:56013930
Author : Mark de Longueville
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 48,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9781441979094
This undergraduate textbook in topological combinatorics covers such topics as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. Includes many figures and exercises.
Author : V.G. Boltyanskii,V.A. Efremovich
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475756043
Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.