Embedding proper homotopy types

M. Cárdenas, et al. "Embedding proper homotopy types." Colloquium Mathematicae 95.1 (2003): 1-20. <http://eudml.org/doc/284788>.

@article{M2003,
abstract = {We show that the proper homotopy type of any properly c-connected locally finite n-dimensional CW-complex is represented by a closed polyhedron in $ℝ^\{2n-c\}$ (Theorem I). The case n - c ≥ 3 is a special case of a general proper homotopy embedding theorem (Theorem II). For n - c ≤ 2 we need some basic properties of “proper” algebraic topology which are summarized in Appendices A and B. The results of this paper are the proper analogues of classical results by Stallings [17] and Wall [20] for finite CW-complexes; see also Dranišnikov and Repovš [7].},
author = {M. Cárdenas, T. Fernández, F. F. Lasheras, A. Quintero},
journal = {Colloquium Mathematicae},
keywords = {proper homotopy type; properly -connected; end-faithful tree},
language = {eng},
number = {1},
pages = {1-20},
title = {Embedding proper homotopy types},
url = {http://eudml.org/doc/284788},
volume = {95},
year = {2003},
}

TY - JOUR
AU - M. Cárdenas
AU - T. Fernández
AU - F. F. Lasheras
AU - A. Quintero
TI - Embedding proper homotopy types
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 1
EP - 20
AB - We show that the proper homotopy type of any properly c-connected locally finite n-dimensional CW-complex is represented by a closed polyhedron in $ℝ^{2n-c}$ (Theorem I). The case n - c ≥ 3 is a special case of a general proper homotopy embedding theorem (Theorem II). For n - c ≤ 2 we need some basic properties of “proper” algebraic topology which are summarized in Appendices A and B. The results of this paper are the proper analogues of classical results by Stallings [17] and Wall [20] for finite CW-complexes; see also Dranišnikov and Repovš [7].
LA - eng
KW - proper homotopy type; properly -connected; end-faithful tree
UR - http://eudml.org/doc/284788
ER -