Glasnik Matematicki, Vol. 43, No.2 (2008), 439-449.

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
e-mail: jcmacias@fcfm.buap.mx

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.

2000 Mathematics Subject Classification.   54B20.

Key words and phrases.   Absolute retract, aposyndesis, Cantor manifold, continuum, hyperspace, indecomposable continuum, n-fold hyperspace, n-fold hyperspace suspension, n-fold pseudo-hyperspace suspension, unicoherent continuum.

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DOI: 10.3336/gm.43.2.14

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