Glasnik Matematicki, Vol. 46, No. 2 (2011), 471-481.

RETRACTIONS AND HYPERSPACES

Sergio Macías

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

Abstract.   Retractions between hyperspaces have been studied by many authors. We study retractions form m-fold hyperspaces onto n-fold symmetric products.

2000 Mathematics Subject Classification.   54B20.

Key words and phrases.   Absolute retract, arc-like continuum, arcwise decomposable continuum, circle-like continuum, continuum, decomposable continuum, indecomposable continuum, movable continuum, n-fold hyperspace, retraction, trivial shape, uniformly pathwise connected, uniquely arcwise connected, weakly chainable continuum.

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DOI: 10.3336/gm.46.2.15

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