Topology of manifolds / Raymond Louis Wilder

Auteur principal : Wilder, Raymond Louis, 1896-1982, AuteurType de document : MonographieCollection : Colloquium publications, 32Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 1949Description : 1 vol. (IX-402 p.) ; 26 cmISBN: 9780821874653.ISSN: 0065-9258.Bibliographie : Bibliogr. p. 385-391. Index.Sujet MSC : 57Nxx, Manifolds and cell complexes - Topological manifolds
55N05, Homology and cohomology theories in algebraic topology, Čech types
57Pxx, Manifolds and cell complexes - Generalized manifolds
54F15, General topology - Special properties of topological spaces, Continua and generalizations
54F35, General topology - Special properties of topological spaces, Higher-dimensional local connectedness
57N65, Manifolds and cell complexes - Topological manifolds, Algebraic topology of manifolds
En-ligne : MathSciNet | AMS
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Bibliogr. p. 385-391. Index

... The general plan of this book follows the above brief historical outline. The first four chapters are devoted to such topics as basic concepts of topology, topological spaces, local connectedness, Peano spaces, and various characterizations of the arc, simple closed curve, 2-sphere, and 2-manifold. These chapters serve a double purpose: they contain basic material necessary for the work of the following chapters and they also furnish a motivation for the higher-dimensional positional invariants introduced later. Chapter V is devoted to combinatorial topology. Although it is not exhaustive, since it only considers those topics needed in the rest of the book, it contains a surprising amount of material. Chapters VI through IX take up the topological concepts necessary for the definition of a generalized manifold and then discuss the general properties of such spaces. The final three chapters are devoted to the study of positional invariants of subsets of generalized manifolds. Much of the material here has appeared up to now only in the form of abstracts. ... (MathSciNet)

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