Glasnik matematički, Vol. 53 No. 2, 2018.
Original scientific paper
https://doi.org/10.3336/gm.53.2.08
Ri-sets, pseudo-contractibility and weak contractibility on hyperspaces of continua
Félix Capulín
orcid.org/0000-0001-5394-4142
; Facultad de Ciencias,, Instituto Literario No. 100, Col. Centro, C. P. 50000,, Toluca, Estado de México, México
Leonardo Juárez-Villa
orcid.org/0000-0002-0796-0931
; Facultad de Ciencias,, Instituto Literario No. 100, Col. Centro, C. P. 50000,, Toluca, Estado de México, México
Fernando Orozco-Zitli
; Facultad de Ciencias,, Instituto Literario No. 100, Col. Centro, C. P. 50000,, Toluca, Estado de México, México
Abstract
In this paper we discuss the notions of pseudo-contractibility and weak contractibility on hyperspaces of (Hausdorff) continua. Also we prove that if a continuum X contains an Ri-set then it is not pseudo-contractible. As a consequence we have that the existence of an Ri-set in a continuum X implies non(pseudo)-contractibility of some hyperspaces.
Keywords
Continuum; hyperspace; contractibilty
Hrčak ID:
214479
URI
Publication date:
30.12.2018.
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