On enclosure homology

E. G. Sklyarenko

M. V. Lomonosov Moscow State University

Abstract: It is shown that the dimension-1 shift of the enclosure homology of a subspace that is a weak neighbourhood deformation retract is isomorphic to its connection homology between the subspace and its complement.

UDC: 515.142.21

MSC: Primary 55N10; Secondary 55M15

Received: 09.01.1996

DOI: 10.4213/sm204

 English version: Sbornik: Mathematics, 1997, 188:2, 299–306

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