On two results of J. Dugundji about extensions of maps and retractions
Author:
H. Steinlein
Journal:
Proc. Amer. Math. Soc. 77 (1979), 289-290
MSC:
Primary 54C15; Secondary 47H10
DOI:
https://doi.org/10.1090/S0002-9939-1979-0542099-7
MathSciNet review:
542099
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We give a short proof of Dugundji’s result that spheres in infinite-dimensional normed spaces are absolute retracts.
- J. Dugundji, An extension of Tietze’s theorem, Pacific J. Math. 1 (1951), 353–367. MR 44116
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- Sze-tsen Hu, Theory of retracts, Wayne State University Press, Detroit, 1965. MR 0181977
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Additional Information
Keywords:
Tietze-Dugundji extension theorem,
retract,
fixed point property
Article copyright:
© Copyright 1979
American Mathematical Society
