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.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 326 (1991), 749-771
- MSC: Primary 54H12; Secondary 52A01, 54B20
- DOI: https://doi.org/10.1090/S0002-9947-1991-1010415-8
- MathSciNet review: 1010415