The hyperspace of T-closed subcontinua

Capulín Pérez, Félix; Castañeda Alvarado, Enrique; Ordoñez Ramírez, Norberto; Ruiz, Marco Antonio

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dc.contributor.author	Capulín Pérez, Félix
dc.contributor.author	Castañeda Alvarado, Enrique
dc.contributor.author	Ordoñez Ramírez, Norberto
dc.contributor.author	Ruiz, Marco Antonio
dc.date.accessioned	2021-01-16T04:32:42Z
dc.date.available	2021-01-16T04:32:42Z
dc.date.issued	2020-03-19
dc.identifier.issn	0166-8641
dc.identifier.uri	http://hdl.handle.net/20.500.11799/109678
dc.description	Artículo de investigación	es
dc.description.abstract	The concept of T -closed set of a continuum was deﬁned and studied by D.P. Bellamy et al., where T denotes the Jones’s set function. Given a continuum X, in this paper, we deﬁne the hyperspace CT(X) as the collection of all T -closed subcontinua of X. We present examples of continua X for which this hyperspace has n elements for each positive integer n or it is the closure of the harmonic sequence or it is the Cantor set. We study the connectedness, compactness, and density of C. Finally, we relate the continuity of T with the structure of this hyperspace.	es
dc.description.sponsorship	Conacyt	es
dc.language.iso	eng	es
dc.publisher	Topology and its applications	es
dc.rights	embargoedAccess	es
dc.rights.uri	http://creativecommons.org/licenses/by-nc/4.0	es
dc.subject	Jones’s set function	es
dc.subject	hyperspace	es
dc.subject	continuum	es
dc.subject.classification	CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA	es
dc.title	The hyperspace of T-closed subcontinua	es
dc.title.alternative	The hyperspace of T-closed subcontinua	es
dc.type	Artículo	es
dc.provenance	Científica	es
dc.road	Dorada	es
dc.organismo	Ciencias	es
dc.ambito	Internacional	es
dc.relation.vol	275