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How Surfaces Intersect In Space: An Introduction To Topology ... - 9789810220662 - Picture 1 of 1

How Surfaces Intersect In Space: An Introduction To Topology (2nd Edition) by J Scott Carter (Paperback, 1995)

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ISBN-13: 9789810220662, 978-9810220662. In the second chapter we are introduced to the M?bius band and surfaces that can be constructed from this non-orientable piece of fabric. In chapter 3, we see how curves can fit in surfaces and how surfaces can fit into spaces with these curves on their boundary.

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This is a book of pictures that illustrate standard examples in low dimensional topology. The text starts at the most basic level (the intersection of coordinate planes) and gives hands-on constructions of the most beautiful 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 carefully explains the importance of the examples and the techniques without being bogged down in a morass of technicalities. The book is a guide book to a wide variety of topics. It will be of value 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. Finally, the book should be interesting to other scientists and mathematicians who want to learn some examples of topological spaces.