Nested sequences of index filtrations and continuation of the connection matrix

[摘要] In this paper, we prove the existence of nested sequences of index filtrations for convergent sequences of (admissible) semiflows on a metric space. This result is new even in the context of flows on a locally compact space. The nested index filtration theorem implies the continuation of homology index braids which, in turn, implies the continuation of connection matrices in the infinite-dimensional Conley index theory. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-12-15