The cell-like approximation theorem in dimension 5

Robert J. Daverman; Denise M. Halverson

Fundamenta Mathematicae (2007)

  • Volume: 197, Issue: 1, page 81-121
  • ISSN: 0016-2736

Abstract

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The cell-like approximation theorem of R. D. Edwards characterizes the n-manifolds precisely as the resolvable ENR homology n-manifolds with the disjoint disks property for 5 ≤ n < ∞. Since no proof for the n = 5 case has ever been published, we provide the missing details about the proof of the cell-like approximation theorem in dimension 5.

How to cite

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Robert J. Daverman, and Denise M. Halverson. "The cell-like approximation theorem in dimension 5." Fundamenta Mathematicae 197.1 (2007): 81-121. <http://eudml.org/doc/283114>.

@article{RobertJ2007,
abstract = {The cell-like approximation theorem of R. D. Edwards characterizes the n-manifolds precisely as the resolvable ENR homology n-manifolds with the disjoint disks property for 5 ≤ n < ∞. Since no proof for the n = 5 case has ever been published, we provide the missing details about the proof of the cell-like approximation theorem in dimension 5.},
author = {Robert J. Daverman, Denise M. Halverson},
journal = {Fundamenta Mathematicae},
keywords = {approximation theorem; disjoint disks; manifold recognition},
language = {eng},
number = {1},
pages = {81-121},
title = {The cell-like approximation theorem in dimension 5},
url = {http://eudml.org/doc/283114},
volume = {197},
year = {2007},
}

TY - JOUR
AU - Robert J. Daverman
AU - Denise M. Halverson
TI - The cell-like approximation theorem in dimension 5
JO - Fundamenta Mathematicae
PY - 2007
VL - 197
IS - 1
SP - 81
EP - 121
AB - The cell-like approximation theorem of R. D. Edwards characterizes the n-manifolds precisely as the resolvable ENR homology n-manifolds with the disjoint disks property for 5 ≤ n < ∞. Since no proof for the n = 5 case has ever been published, we provide the missing details about the proof of the cell-like approximation theorem in dimension 5.
LA - eng
KW - approximation theorem; disjoint disks; manifold recognition
UR - http://eudml.org/doc/283114
ER -

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