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- Title
DUCED MAPPINGS ON C<sub>n</sub>(X)/C<sub>nK</sub>(X).
- Authors
ANAYA, J. G.; CASTAÑEDA-ALVARADO, E.; MARTÍNEZ-CORTEZ, J. A.
- Abstract
Given a continuum X and n ∊ N. Let Cn(X) be the hyperspace of all nonempty closed subsets of X with at most n components. Let CnK(X) be the hyperspace of all elements in Cn(X) containing K where K is a compact subset of X. The quotient space Cn(X)/CnK(X) will be denote by CnK (X). Given a mapping f: X → Y between continua, let Cn(f): Cn(X) → Cn(Y) be the mapping induced by f, defined by Cn(f)(A) = f(A). We denote the natural induced mapping between CnK (X) and Cnf(K)(Y) by CnK(f). In this paper, we study relationships among the mappings f, Cn(f) and CnK (f) for the following classes of mappings: almost monotone, atriodic, confluent, joining, light, monotone, open, OM, pseudo-confluent, quasi-monotone, semi-confluent, strongly freely decomposable, weakly confluent, and weakly monotone.
- Subjects
HYPERSPACE; MATHEMATICAL continuum; QUOTIENT rings; MONOTONE operators; HOMEOMORPHISMS
- Publication
Matematychni Studii, 2021, Vol 56, Issue 1, p83
- ISSN
1027-4634
- Publication type
Article
- DOI
10.30970/ms.56.1.83-95