By V. V. Sharko
This monograph covers in a unified demeanour new effects on tender features on manifolds. a big subject is Morse and Bott services with a minimum variety of singularities on manifolds of size more than 5. Sharko computes obstructions to deformation of 1 Morse functionality into one other on a easily hooked up manifold. additionally, a style is built for developing minimum chain complexes and homotopical platforms within the experience of Whitehead. This results in stipulations below which Morse services on non-simply-connected manifolds exist. Sharko additionally describes new homotopical invariants of manifolds, that are used to considerably increase the Morse inequalities. The stipulations ensuring the lifestyles of minimum around Morse capabilities are mentioned.