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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0115-6,
author = {Miros\l aw \'Slosarski},
title = {The homotopies of admissible multivalued mappings},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2187-2199},
zbl = {1271.54058},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0115-6}
}
Mirosław Ślosarski. The homotopies of admissible multivalued mappings. Open Mathematics, Tome 10 (2012) pp. 2187-2199. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0115-6/
[1] Borsuk K., Theory of Retracts, Monogr. Mat., 44, PWN, Warsaw, 1967 | Zbl 0153.52905
[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 | Zbl 1107.55001
[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 | Zbl 0322.55022
[5] Suszycki A., On extensions of multivalued maps, Bull. Acad. Polon. Sci. Sér. Sci. Math., 1979, 27(2), 183–188 | Zbl 0425.54006
[6] Suszycki A., Retracts and homotopies for multimaps, Fund. Math., 1983, 115(1), 9–26 | Zbl 0529.55013
[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] | Zbl 0316.55010