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Intuitive combinatorial topology

Author: V G Bolti︠a︡nskiĭ; V A Efremovich
Publisher: New York : Springer, 2001.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. 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. There is hardly an area of mathematics that does not make  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V G Bolti︠a︡nskiĭ; V A Efremovich
ISBN: 0387951148 9780387951140
OCLC Number: 44594040
Description: xii, 141 pages : illustrations.
Contents: Topology of curves --
Topology of surfaces --
Homotopy and homology --
Appendix A: Topological objects in nematic liquid crystals.
Series Title: Universitext.
Other Titles: Naglyadnaya topolgiya.
Responsibility: V.G. Boltyanskiǐ, V.A. Efremovich ; translated by Abe Shenitzer.
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Abstract:

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.  Read more...

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From the reviews:"An introduction to the topology of curves and surfaces, homotopy and homology with an emphasis on concepts and motivation rather than on theorems and proofs. Accessible to Read more...

 
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\n\n

Primary Entity<\/h3>\n
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Related Entities<\/h3>\n
<http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> # New York<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"New York<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/514.22\/e21\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/44311600#Agent\/springer<\/a>> # Springer<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Springer<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/44311600#Person\/boltianskii_v_g_vladimir_grigorevich_1925_2019<\/a>> # Vladimir Grigor\u02B9evich Bolti\uFE20a\uFE21nski\u012D<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1925<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"2019<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Bolti\uFE20a\uFE21nski\u012D<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Vladimir Grigor\u02B9evich<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"V. G.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Vladimir Grigor\u02B9evich Bolti\uFE20a\uFE21nski\u012D<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/44311600#Series\/universitext<\/a>> # Universitext.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/44594040<\/a>> ; # Intuitive combinatorial topology<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Universitext.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Universitext<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/44311600#Topic\/algebraische_topologie<\/a>> # Algebra\u00EFsche topologie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algebra\u00EFsche topologie<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/44311600#Topic\/topologie_combinatoire<\/a>> # Topologie combinatoire<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Topologie combinatoire<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"nyu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/868987<\/a>> # Combinatorial topology<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Combinatorial topology<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/61696805<\/a>> # V. A. Efremovich<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Efremovich<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"V. A.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"V. A. Efremovich<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/entity\/work\/id\/44311600<\/a>> # Naglyadnaya topolgiya.<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Naglyadnaya topolgiya.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780387951140<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0387951148<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780387951140<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/44594040<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/44594040<\/a>> ; # Intuitive combinatorial topology<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-04-28<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/44594040#CreativeWork\/unidentifiedOriginalWork<\/a>> # Naglyadnaya topolgiya.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"ru<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Naglyadnaya topolgiya.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/44594040#PublicationEvent\/new_york_springer_2001<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/44311600#Agent\/springer<\/a>> ; # Springer<\/span>\n\u00A0\u00A0\u00A0\nschema:startDate<\/a> \"2001<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/44594040#Review\/-549374284<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Review<\/a> ;\u00A0\u00A0\u00A0\nschema:itemReviewed<\/a> <http:\/\/www.worldcat.org\/oclc\/44594040<\/a>> ; # Intuitive combinatorial topology<\/span>\n\u00A0\u00A0\u00A0\nschema:reviewBody<\/a> \"\"Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. 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. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations.\"--Jacket.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n