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Ends of complexes

book
Language:
Author: Bruce Hughes and Andrew Ranicki
Url: http://www.maths.ed.ac.uk/~aar/books/index.htm
Format: Pdf
Category: Topology
Pages: 375
Clicks: 1121

Description
Contens: Part one Topology at infinity 1 1 End spaces 1 2 Limits 13 3 Homology at infinity 29 4 Cellular homology 43 5 Homology of covers 56 6 Pro jective class and torsion 65 7 Forward tameness 75 8 Reverse tameness 92 9 Homotopy at infinity 97 10 Pro jective class at infinity 109 11 Infinite torsion 122 12 Forward tameness is a homotopy pushout 137 Part two Topology over the real line 147 13 Infinite cyclic covers 147 14 The mapping torus 168 15 Geometric ribbons and bands 173 16 Approximate fibrations 187 17 Geometric wrapping up 197 18 Geometric relaxation 214 19 Homotopy theoretic twist glueing 222 20 Homotopy theoretic wrapping up and relaxation 244 Part three The algebraic theory 255 21 Polynomial extensions 255 22 Algebraic bands 263 23 Algebraic tameness 268 24 Relaxation techniques 288 25 Algebraic ribbons 300 26 Algebraic twist glueing 306 27 Wrapping up in algebraic K- and L-theory.

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