The homotopies of admissible multivalued mappings
Open Mathematics (2012)
- Volume: 10, Issue: 6, page 2187-2199
- ISSN: 2391-5455
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topMirosław Ślosarski. "The homotopies of admissible multivalued mappings." Open Mathematics 10.6 (2012): 2187-2199. <http://eudml.org/doc/269653>.
@article{MirosławŚlosarski2012,
abstract = {Certain properties of homotopies of admissible multivalued mappings shall be presented, along with their applications as the tool for examining the acyclicity of a space.},
author = {Mirosław Ślosarski},
journal = {Open Mathematics},
keywords = {Absolute neighborhood multi-retracts; Countable dimension; Trivial shape; TSA-extension; TSA-homotopy; TSA-map; multi-map; contractible; absolute neighborhood multi-retract, trivial shape},
language = {eng},
number = {6},
pages = {2187-2199},
title = {The homotopies of admissible multivalued mappings},
url = {http://eudml.org/doc/269653},
volume = {10},
year = {2012},
}
TY - JOUR
AU - Mirosław Ślosarski
TI - The homotopies of admissible multivalued mappings
JO - Open Mathematics
PY - 2012
VL - 10
IS - 6
SP - 2187
EP - 2199
AB - Certain properties of homotopies of admissible multivalued mappings shall be presented, along with their applications as the tool for examining the acyclicity of a space.
LA - eng
KW - Absolute neighborhood multi-retracts; Countable dimension; Trivial shape; TSA-extension; TSA-homotopy; TSA-map; multi-map; contractible; absolute neighborhood multi-retract, trivial shape
UR - http://eudml.org/doc/269653
ER -
References
top- [1] Borsuk K., Theory of Retracts, Monogr. Mat., 44, PWN, Warsaw, 1967 Zbl0153.52905
- [2] Borsuk K., Theory of Shape, Monogr. Mat., 59, PWN, Warsaw, 1975
- [3] Górniewicz L., Topological Fixed Point Theory of Multivalued Mappings, Topol. Fixed Point Theory Appl., 4, Springer, Dordrecht, 2006 Zbl1107.55001
- [4] Keesling J.E., A non-movable trivial-shape decomposition of the Hilbert cube, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 1975, 23(9), 997–998 Zbl0322.55022
- [5] Suszycki A., On extensions of multivalued maps, Bull. Acad. Polon. Sci. Sér. Sci. Math., 1979, 27(2), 183–188 Zbl0425.54006
- [6] Suszycki A., Retracts and homotopies for multimaps, Fund. Math., 1983, 115(1), 9–26 Zbl0529.55013
- [7] Taylor J.L., A counterexample in shape theory, Bull. Amer. Math. Soc., 1975, 81, 629–632 http://dx.doi.org/10.1090/S0002-9904-1975-13768-2[Crossref] Zbl0316.55010
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