Download E-books Functions on Manifolds: Algebraic and Topological Aspects (Translations of Mathematical Monographs) PDF

By V. V. Sharko

This monograph covers in a unified demeanour new effects on gentle capabilities on manifolds. a tremendous subject is Morse and Bott features with a minimum variety of singularities on manifolds of measurement more than 5. Sharko computes obstructions to deformation of 1 Morse functionality into one other on a easily hooked up manifold. moreover, a style is built for developing minimum chain complexes and homotopical platforms within the experience of Whitehead. This ends up in stipulations lower than which Morse services on non-simply-connected manifolds exist. Sharko additionally describes new homotopical invariants of manifolds, that are used to considerably enhance the Morse inequalities. The stipulations making certain the life of minimum around Morse features are mentioned.

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