Original scientific paper

https://doi.org/10.3336/gm.43.2.14

On the n-fold pseudo-hyperspace suspensions of continua

Juan Carlos Macias ; Facultad de Ciencias Fisico Matemáticas, BUAP, Ave. San Claudio y Rio Verde, Ciudad Universitaria, San Manuel, Puebla Pue. C.P. 72570, México

Abstract

Let X be a (metric) continuum. Let n be a positive integer, let Cn(X) denote the space of all nonempty closed subsets of X with at most n components and let F1(X) denote the space of singletons. The n-fold pseudo-hyperspace suspension of X is the quotient space Cn(X)/F1(X). We present properties of this hyperspace.

Keywords

Absolute retract; aposyndesis; Cantor manifold; continuum; hyperspace; indecomposable continuum; n-fold hyperspace; n-fold hyperspace suspension; n-fold pseudo-hyperspace suspension; unicoherent continuum

Hrčak ID:

28906

URI

https://hrcak.srce.hr/28906

Publication date:

10.11.2008.

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