This text presents pictures that illustrates standard examples in low dimensional topology. It begins at the most basic level (the intersection of coordinate planes) and gives hands on constructions of examples in topology: the projective plane, Poincare's example of a homology sphere, lens spaces, knotted surfaces, 2-sphere eversions and higher dimensional manifolds. The text explains the importance of the examples and the techniques without being bogged down in technicalities. The book is a guide to a wide variety of topics. It should be of use to undergraduates who want to learn geometric topology and to graduate students who want examples with which they can make computations and who need an elementary description of topological spaces. It should also be interesting to other scientists and mathematicians who want to learn some examples of topological spaces.
By:
J Scott Carter (Univ Of South Alabama Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Edition: 2nd Revised edition
Volume: 2
Dimensions:
Height: 220mm,
Width: 152mm,
Spine: 23mm
Weight: 590g
ISBN: 9789810220822
ISBN 10: 9810220820
Series: Series on Knots & Everything
Pages: 338
Publication Date: 01 May 1995
Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format: Hardback
Publisher's Status: Active
Classification of orientable surfaces, and the meaning of space; examples of non-orientable surfaces including models of the projective plane and the Klein bottle; how curves fit on surfaces and gives a general discussion of knotted strings in space; some examples of other 3-dimensional spaces - the 3-dimensional sphere, lens spaces, the quaternionic projective space; movie techniques of studying surfaces in 4-dimensions - how to move among the standard examples of Klein bottles, ""movie move"" decomposition of turning the 2-sphere inside out; higher dimensional spaces.
