Glasnik Matematicki, Vol. 41, No.2 (2006), 335-343.

ON THE n-FOLD HYPERSPACE SUSPENSION OF CONTINUA, II

Sergio Macias

Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, México D. F., C. P. 04510, Mexico
e-mail: macias@servidor.unam.mx

Abstract.   We continue our study of n-fold hyperspace suspensions. We show that n-fold hyperspace suspensions of contractible continua are contractible. We prove that n-fold hyperspace suspensions are zero-dimensional aposyndetic. We also show that hereditarily indecomposable continua have unique n-fold hyperspace suspensions.

2000 Mathematics Subject Classification.   54B20.

Key words and phrases.   Absolute retract, continuum, n-fold hyperspace, n-fold hyperspace suspension, retract, strong deformation retract, Z-set.

Full text (PDF) (free access)

DOI: 10.3336/gm.41.2.16

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