Delocalized Betti numbers and Morse type inequalities. (English) Zbl 1223.58018
The paper under review deals with various Morse-type inequalities in a general analytic framework. These inequalities are used to deduce the Morse inequalities for Morse functions and delocalized Betti numbers. The paper also deals with delocalized Novikov-Shubin inequalities and delocalized Morse inequalities for closed 1-forms.
Reviewer: Teodora-Liliana Rădulescu (Craiova)
MSC:
| 58J35 | Heat and other parabolic equation methods for PDEs on manifolds |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
