Inverse Sequences and Absolute Co-Extensors

Ivan Ivanšić, and Leonard R. Rubin. "Inverse Sequences and Absolute Co-Extensors." Bulletin of the Polish Academy of Sciences. Mathematics 55.3 (2007): 243-259. <http://eudml.org/doc/281256>.

@article{IvanIvanšić2007,
abstract = {Suppose that K is a CW-complex, X is an inverse sequence of stratifiable spaces, and X = limX. Using the concept of semi-sequence, we provide a necessary and sufficient condition for X to be an absolute co-extensor for K in terms of the inverse sequence X and without recourse to any specific properties of its limit. To say that X is an absolute co-extensor for K is the same as saying that K is an absolute extensor for X, i.e., that each map f:A → K from a closed subset A of X extends to a map F:X → K. In case K is a polyhedron $|K|_\{CW\}$ (the set |K| with the weak topology CW), we determine a similar characterization that takes into account the simplicial structure of K.},
author = {Ivan Ivanšić, Leonard R. Rubin},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {absolute extensor; inverse sequence},
language = {eng},
number = {3},
pages = {243-259},
title = {Inverse Sequences and Absolute Co-Extensors},
url = {http://eudml.org/doc/281256},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Ivan Ivanšić
AU - Leonard R. Rubin
TI - Inverse Sequences and Absolute Co-Extensors
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 3
SP - 243
EP - 259
AB - Suppose that K is a CW-complex, X is an inverse sequence of stratifiable spaces, and X = limX. Using the concept of semi-sequence, we provide a necessary and sufficient condition for X to be an absolute co-extensor for K in terms of the inverse sequence X and without recourse to any specific properties of its limit. To say that X is an absolute co-extensor for K is the same as saying that K is an absolute extensor for X, i.e., that each map f:A → K from a closed subset A of X extends to a map F:X → K. In case K is a polyhedron $|K|_{CW}$ (the set |K| with the weak topology CW), we determine a similar characterization that takes into account the simplicial structure of K.
LA - eng
KW - absolute extensor; inverse sequence
UR - http://eudml.org/doc/281256
ER -