On the homotopy equivalence of the spaces of proper and local maps
Piotr Bartłomiejczyk; Piotr Nowak-Przygodzki
Open Mathematics (2014)
- Volume: 12, Issue: 9, page 1330-1336
- ISSN: 2391-5455
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topPiotr Bartłomiejczyk, and Piotr Nowak-Przygodzki. "On the homotopy equivalence of the spaces of proper and local maps." Open Mathematics 12.9 (2014): 1330-1336. <http://eudml.org/doc/269635>.
@article{PiotrBartłomiejczyk2014,
abstract = {We prove that for n > 1 the space of proper maps P 0(n, k) and the space of local maps F 0(n, k) are not homotopy equivalent.},
author = {Piotr Bartłomiejczyk, Piotr Nowak-Przygodzki},
journal = {Open Mathematics},
keywords = {Proper map; Local map; Homotopy equivalence; proper map; local map; homotopy equivalence; contractible},
language = {eng},
number = {9},
pages = {1330-1336},
title = {On the homotopy equivalence of the spaces of proper and local maps},
url = {http://eudml.org/doc/269635},
volume = {12},
year = {2014},
}
TY - JOUR
AU - Piotr Bartłomiejczyk
AU - Piotr Nowak-Przygodzki
TI - On the homotopy equivalence of the spaces of proper and local maps
JO - Open Mathematics
PY - 2014
VL - 12
IS - 9
SP - 1330
EP - 1336
AB - We prove that for n > 1 the space of proper maps P 0(n, k) and the space of local maps F 0(n, k) are not homotopy equivalent.
LA - eng
KW - Proper map; Local map; Homotopy equivalence; proper map; local map; homotopy equivalence; contractible
UR - http://eudml.org/doc/269635
ER -
References
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