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On boundary avoiding
selections and some extension theorems
Stoyu Barov and Jan J. Dijkstra |
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Vol. 203 (2002), No. 1, 79–87
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Abstract |
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A theorem of Marc Frantz about controlled continuous extensions of functions inspired us to prove a general result concerning boundary avoiding continuous selections into Banach spaces, which has Frantz’ theorem as a corollary. In addition, with relatively simple means we improve upon some other results of Frantz involving extensions of products and of disjoint families of functions. |
Milestones
Received: 5 May 2000
Revised: 30 November 2000
Published: 1 March 2002
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Authors |
| Stoyu Barov | |
| Department of Mathematics The University of Alabama Tuscaloosa, AL 35487-0350 |
Ball State University Muncie, IN 47306 |
| Jan J. Dijkstra | |
| Divisie der Wiskunde en
Informatica Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam The Netherlands |
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