In the study of smooth functions on manifolds,min-max theory provides a mechanism for identifying critical values of a function.We introduce a discretized version of this theory associated to a discrete Morse function...In the study of smooth functions on manifolds,min-max theory provides a mechanism for identifying critical values of a function.We introduce a discretized version of this theory associated to a discrete Morse function on a(regular)cell complex.As applications we prove a discrete version of the mountain pass lemma and give an alternate proof of a discrete Lusternik-Schnirelmann theorem.展开更多
文摘In the study of smooth functions on manifolds,min-max theory provides a mechanism for identifying critical values of a function.We introduce a discretized version of this theory associated to a discrete Morse function on a(regular)cell complex.As applications we prove a discrete version of the mountain pass lemma and give an alternate proof of a discrete Lusternik-Schnirelmann theorem.
