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[null,"1.","Record Nr.",null,"UNINA9910299968503321"]
[null,null,"Autore",null,"Weintraub Steven H"]
[null,null,"Titolo",null,"Fundamentals of Algebraic Topology / / by Steven H. Weintraub"]
[null,null,"Pubbl/distr/stampa",null,"New York, NY : , : Springer New York : , : Imprint : Springer, , 2014"]
[null,null,"ISBN",null,"1-4939-1844-3"]
[null,null,"Edizione",null,"[1st ed. 2014.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 163 p. 82 illus.)"]
[null,null,"Collana",null,"Graduate Texts in Mathematics, , 0072-5285 ; ; 270"]
[null,null,"Disciplina",null,"514.2"]
[null,null,"Soggetti",null,"Algebraic topology"]
[{"$nulls":4},"Manifolds (Mathematics)"]
[{"$nulls":4},"Complex manifolds"]
[{"$nulls":4},"Categories (Mathematics)"]
[{"$nulls":4},"Algebra, Homological"]
[{"$nulls":4},"Algebraic Topology"]
[{"$nulls":4},"Manifolds and Cell Complexes (incl. Diff.Topology)"]
[{"$nulls":4},"Category Theory, Homological Algebra"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Preface -- 1. The Basics -- 2. The Fundamental Group -- 3. Generalized Homology Theory -- 4. Ordinary Homology Theory -- 5. Singular Homology Theory -- 6. Manifolds -- 7. Homotopy Theory -- 8. Homotopy Theory -- A. Elementary Homological Algebra -- B. Bilinear Forms.- C. Categories and Functors -- Bibliography -- Index."]
[null,null,null,"Sommario/riassunto","This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated. Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated "]
[{"$nulls":4},"bibliography."]