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Quasiperiodic structures in topology. (English) Zbl 0813.57029

Goldberg, Lisa R. (ed.) et al., Topological methods in modern mathematics. Proceedings of a symposium in honor of John Milnor’s sixtieth birthday, held at the State University of New York at Stony Brook, USA, June 14-June 21, 1991. Houston, TX: Publish or Perish, Inc. 223-233 (1993).
From the introduction: This paper describes the results of the author and some of his colleagues (mainly from Moscow) on the topology of closed 1- forms on finite-dimensional manifolds (these investigations started in 1981). This theory may be considered as a natural analogue of Morse theory.
For the entire collection see [Zbl 0780.00031].

MSC:

57R70 Critical points and critical submanifolds in differential topology
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
58A10 Differential forms in global analysis
57R99 Differential topology
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