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Proceedings of the American Mathematical Society

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

 

 

A generalization of absolute retracts


Author: John R. Martin
Journal: Proc. Amer. Math. Soc. 52 (1975), 409-413
MSC: Primary 54C55
DOI: https://doi.org/10.1090/S0002-9939-1975-0380720-3
MathSciNet review: 0380720
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Abstract: In this paper the concept of an absolute retract is generalized to a new concept which we call an absolute approximate retract. It is shown that for the class of compact metric spaces, the class of absolute approximate retracts contains the class of absolute retracts and lies in the class of contractible Peano continua.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0380720-3
Keywords: Retract, absolute retract, absolute neighborhood retract, Peano continuum
Article copyright: © Copyright 1975 American Mathematical Society