Vol. 102, No. 2, 1982

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Intrinsically (n 2)-dimensional cellular decompositions of En

Robert Jay Daverman and Dennis J. Garity

Vol. 102 (1982), No. 2, 275–283
Abstract

Let G be a CE use decomposition of an n-manifold M. The intrinsic dimension of G is a measure of the minimal dimension of the image of the nondegeneracy set of CE maps from M onto M∕G which approximate the natural projection map. Examples of totally noncellular intrinsically n-dimensional decompositions of En, n 3, are known to exist. Here it is shown that there also exist cellular decompositions of En, n 3, which are intrinsically (n 2)-dimensional.

Mathematical Subject Classification 2000
Primary: 57N12
Secondary: 54B15, 57N15
Milestones
Received: 7 November 1980
Revised: 5 August 1981
Published: 1 October 1982
Authors
Robert Jay Daverman
Dennis J. Garity