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

https://hrcak.srce.hr/214479

Publication date:

30.12.2018.

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