A dimensional property of Cartesian product
Fundamenta Mathematicae (2013)
- Volume: 220, Issue: 3, page 281-286
- ISSN: 0016-2736
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topMichael Levin. "A dimensional property of Cartesian product." Fundamenta Mathematicae 220.3 (2013): 281-286. <http://eudml.org/doc/282844>.
@article{MichaelLevin2013,
abstract = {We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.},
author = {Michael Levin},
journal = {Fundamenta Mathematicae},
keywords = {hereditarily infinite-dimensional compacta; cohomological dimension; extension theory},
language = {eng},
number = {3},
pages = {281-286},
title = {A dimensional property of Cartesian product},
url = {http://eudml.org/doc/282844},
volume = {220},
year = {2013},
}
TY - JOUR
AU - Michael Levin
TI - A dimensional property of Cartesian product
JO - Fundamenta Mathematicae
PY - 2013
VL - 220
IS - 3
SP - 281
EP - 286
AB - We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
LA - eng
KW - hereditarily infinite-dimensional compacta; cohomological dimension; extension theory
UR - http://eudml.org/doc/282844
ER -
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