This is a topology book for undergraduates,and in writing it I have had two aims in mind.Firstly,to make sure the student sees a variety of defferent techniques and applications involving point set,geometric,and algebraic topology,without celving too deeply into any particular area.Secondly,to develop the reader's geometrical insight;topology is after all a branch of geometry. 本书为全英文版。
目录
Preface Chapter1 Introduction Chapter2 Continuity Chapter3 Compactness and connectedness Chapter4 Identification spaces Chapter5 The fundamental group Chapter6 Triangulations Chapter7 Surfaces Chapter8 Simplicial homology Chapter9 Degree and Lefschetz number Chapter10 Knots and covering spaces Appendix:Generators and relations Bibliography Index
