Functions on Manifolds : Algebraic and Topological Aspects
Book Details
Format
Hardback or Cased Book
Book Series
Translations of Mathematical Monographs
ISBN-10
0821845780
ISBN-13
9780821845783
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Nov 30th, 1993
Print length
193 Pages
Weight
624 grams
Product Classification:
Differential calculus & equationsDifferential calculus and equationsTopology
Ksh 25,400.00
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Presents a monograph that covers the results on smooth functions on manifolds. This title computes obstructions to deformation of one Morse function into another on a simply connected manifold. It describes fresh homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities.
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This leads to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.
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