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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
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Abstract: We give a short proof of Dugundji's result that spheres in infinite-dimensional normed spaces are absolute retracts.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0542099-7
Keywords: Tietze-Dugundji extension theorem, retract, fixed point property
Article copyright: © Copyright 1979 American Mathematical Society