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Proceedings of the American Mathematical Society

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

 

 

A continuum $ X$ which is a retract of $ C(X)$ but not of $ 2\sp X$


Author: Alejandro Illanes
Journal: Proc. Amer. Math. Soc. 100 (1987), 199-200
MSC: Primary 54B20; Secondary 54C15, 54F20
DOI: https://doi.org/10.1090/S0002-9939-1987-0883428-9
MathSciNet review: 883428
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Abstract: We give an example of a continuum $ X$ which is a retract of $ C(X)$ but not of $ {2^X}$.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0883428-9
Keywords: Continuum, hyperspace, retraction
Article copyright: © Copyright 1987 American Mathematical Society