Vol. 91, No. 1, 1980

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On cellular decompositions of Hilbert cube manifolds

Zvonko Cerin

Vol. 91 (1980), No. 1, 47–69
Abstract

M. Brown’s notion of a cellular set has proved useful in the study of upper semi-continuous decompositions of finite-dimensional manifolds. This paper introduces an infinite-dimensional analogue of it and studies decompositions of Hilbert cube manifolds into cellular sets. Our results give evidence that there is a close analogy between cellular decompositions of finite-dimensional and infinite-dimensional manifolds.

Mathematical Subject Classification 2000
Primary: 57N20
Milestones
Received: 14 December 1978
Revised: 6 September 1979
Published: 1 November 1980
Authors
Zvonko Cerin