Invariant arcs, Whitney levels, and Kelley continua

van de Vel, M.

doi:10.1090/S0002-9947-1991-1010415-8

Invariant arcs, Whitney levels, and Kelley continua
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by M. van de Vel PDF

Trans. Amer. Math. Soc. 326 (1991), 749-771 Request permission

Abstract:

As an application of convexity in spaces of arcs, three results of a somewhat different nature have been obtained. The first one gives some simple conditions under which an arc of a semilattice is mapped back into itself by an order-preserving function. The second result states that certain Whitney levels are absolute retracts. Finally, Kelley continua are characterized by what we call approximating coselections.

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