The homotopies of admissible multivalued mappings

• Autorzy: Mirosław Ślosarski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Absolute neighborhood multi-retracts; Countable dimension; Trivial shape; TSA-extension; TSA-homotopy; TSA-map

Kategorie tematyczne

• 55P57: Proper homotopy theory
• 54C60: Set-valued maps
• 54C20: Extension of maps

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2187-2199

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Mirosław Ślosarski

• Institute of Electronics, Department of Electronics and Information Technology, Technical University of Koszalin, Śniadeckich 2, 75-453, Koszalin, Poland

Bibliografia

• [1] Borsuk K., Theory of Retracts, Monogr. Mat., 44, PWN, Warsaw, 1967
• [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
• [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
• [5] Suszycki A., On extensions of multivalued maps, Bull. Acad. Polon. Sci. Sér. Sci. Math., 1979, 27(2), 183–188
• [6] Suszycki A., Retracts and homotopies for multimaps, Fund. Math., 1983, 115(1), 9–26
• [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]

Identyfikatory

DOI

10.2478/s11533-012-0115-6