12-Homogeneous n-fold hyperspace suspensions

Autor:	Sergio Macías, Patricia Pellicer-Covarrubias
Rok vydání:	2015
Předmět:	Hyperspace Pure mathematics Fold (higher-order function) Continuum (topology) Homogeneous Homogeneity (physics) Mathematical analysis Geometry and Topology Finite set Suspension (topology) Indecomposable continuum Mathematics
Zdroj:	Topology and its Applications. 180:142-160
ISSN:	0166-8641
DOI:	10.1016/j.topol.2014.11.010
Popis:	We study 1 2 -homogeneity of the n-fold hyperspace suspension of continua. We prove that if X is a decomposable continuum and its n-fold hyperspace suspension is 1 2 -homogeneous, then X must be continuum chainable. We also characterize 1 2 -homogeneity of the hyperspace suspension for several classes of continua including: continua containing a free arc, atriodic and decomposable continua, decomposable irreducible continua about a finite set.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3e8d2a5cbb0e6fe52e7cc91cc2578730 https://doi.org/10.1016/j.topol.2014.11.010 Zobrazit plný text záznamu Full Text from ScienceDirect