Uniformly Movable Categories and Uniform Movability of Topological Spaces

P. S. Gevorgyan, and I. Pop. "Uniformly Movable Categories and Uniform Movability of Topological Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 55.3 (2007): 229-242. <http://eudml.org/doc/281333>.

@article{P2007,
abstract = {A categorical generalization of the notion of movability from inverse systems and shape theory was given by the first author who defined the notion of movable category and used it to interpret the movability of topological spaces. In this paper the authors define the notion of uniformly movable category and prove that a topological space is uniformly movable in the sense of shape theory if and only if its comma category in the homotopy category HTop over the subcategory HPol of polyhedra is uniformly movable. This is a weakened version of the categorical notion of uniform movability introduced by the second author.},
author = {P. S. Gevorgyan, I. Pop},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {shape theory; uniformly movable inverse system (space); uniformaly movable category},
language = {eng},
number = {3},
pages = {229-242},
title = {Uniformly Movable Categories and Uniform Movability of Topological Spaces},
url = {http://eudml.org/doc/281333},
volume = {55},
year = {2007},
}

TY - JOUR
AU - P. S. Gevorgyan
AU - I. Pop
TI - Uniformly Movable Categories and Uniform Movability of Topological Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 3
SP - 229
EP - 242
AB - A categorical generalization of the notion of movability from inverse systems and shape theory was given by the first author who defined the notion of movable category and used it to interpret the movability of topological spaces. In this paper the authors define the notion of uniformly movable category and prove that a topological space is uniformly movable in the sense of shape theory if and only if its comma category in the homotopy category HTop over the subcategory HPol of polyhedra is uniformly movable. This is a weakened version of the categorical notion of uniform movability introduced by the second author.
LA - eng
KW - shape theory; uniformly movable inverse system (space); uniformaly movable category
UR - http://eudml.org/doc/281333
ER -