Intuitive Topology

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This is an introductory course on topology and begins by defining the main notions in a tangible and perceptible way, and then progressing to more precise and rigorous definitions and results, reaching the level of fairly sophisticated yet completely understandable proofs. An important feature of the book is that it deals mainly with construction of objects (like surfaces, knots and links in space) and maps between these objects, rather than with general theorems. It contains a number of illustrations and problems with solutions. Readership: Advanced high school students and undergraduates majoring in mathematics.

Author(s): V. V. Prasolov
Series: Mathematical World 4
Publisher: Universities Press India
Year: 1998

Language: English
Pages: 104

Deformations
Knots and links
Spans of knots and links
A knot invariant
Homeomorphisms
Vector fields on the plane
Vector fields on two-dimensional surfaces
Fixed point free and periodic homeomorphisms
Two-dimensional surfaces
References