000			01948nam a22003257a 4500
003			OSt
005			20241022181416.0
008			241022b |||||||| |||| 00| 0 hin d
020			_a9783030706074
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aENGLISH
082			_a515.14 _bBRA-A
100			_aBray, Clark
245			_aAlgebraic topology
260			_aSwitzerland : _bSpringer Nature, _c2021.
300			_axiv, 209p.
504			_aIncludes bibliographical references and index.
520			_aAlgebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years. Each chapter, or lecture, corresponds to one day of class at SUMaC. The book begins with the preliminaries needed for the formal definition of a surface. Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and homology. This book assumes no background in abstract algebra or real analysis, and the material from those subjects is presented as needed in the text. This makes the book readable to undergraduates or high-school students who do not have the background typically assumed in an algebraic topology book or class. The book contains many examples and exercises, allowing it to be used for both self-study and for an introductory undergraduate topology course.
650			_aAlgebraic topology
650			_aMayer-Vietoris sequence
650			_aSeifert-Van Kampen theorem
650			_aQuotient groups
650			_aLagrange's theorem
650			_aHomology
700			_aButscher, Adrian
700			_aRubinstein-Salzedo, Simon
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-70608-1/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/71352406-algebraic-topology#CommunityReviews
942			_2udc _cBK
999			_c35336 _d35336