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003 OCoLC
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008 150626s2015 sz a ob 001 0 eng d
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020 $a9783319169583$q(electronic bk.)
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020 $z9783319169576
024 7 $a10.1007/978-3-319-16958-3$2doi
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037 $acom.springer.onix.9783319169583$bSpringer Nature
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100 1 $aManetti, Marco,$eauthor.
240 10 $aTopologia.$lEnglish
245 10 $aTopology /$cMarco Manetti.
264 1 $aCham :$bSpringer,$c2015.
300 $a1 online resource (xii, 309 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
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347 $atext file
347 $bPDF
490 1 $aUNITEXT,$x2038-5714 ;$vvolume 91
504 $aIncludes bibliographical references and index.
588 0 $aOnline resource; title from PDF title page (SpringerLink, viewed June 26, 2015).
520 $aThis is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group;℗ℓthe van Kampen theorem;℗ℓcovering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it℗ℓis very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.
505 0 $a1 Geometrical introduction to topology -- 2 Sets -- 3 Topological structures -- 4 Connectedness and compactness -- 5 Topological quotients -- 6 Sequences -- 7 Manifolds, infinite products and paracompactness -- 8 More topics in general topology -- 9 Intermezzo -- Homotopy -- 10 The fundamental group -- 11 Covering spaces -- Monodromy -- 12 van Kampen's theorem -- 13 Selected topics in algebraic topology -- 14 Hints and solutions -- 15 References -- 16 Index.
650 0 $aTopology.
650 0 $aAlgebraic topology.
650 6 $aTopologie.
650 6 $aTopologie algébrique.
650 7 $aMathematics.$2bicssc
650 7 $aAlgebraic topology.$2bicssc
650 7 $aMathematics$xGeneral.$2bisacsh
650 7 $aMathematics$xTopology.$2bisacsh
650 7 $aAlgebraic topology.$2fast$0(OCoLC)fst00804941
650 7 $aTopology.$2fast$0(OCoLC)fst01152692
650 7 $aTopologie$2gnd
650 7 $aAlgebraische Topologie$2gnd
655 0 $aElectronic books.
655 4 $aElectronic books.
700 1 $aChiossi, Simon G.,$etranlator.
776 08 $iPrinted edition:$z9783319169576
830 0 $aUnitext ;$vvolume 91.$x2038-5714
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856 40 $3ProQuest Ebook Central$uhttps://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=6314374
856 40 $3Scholars Portal$uhttp://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks3/springer/2017-08-17/5/9783319169583
856 40 $3SpringerLink$uhttps://doi.org/10.1007/978-3-319-16958-3
856 40 $3SpringerLink$uhttps://link.springer.com/book/10.1007/978-3-319-16957-6
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