A generalization of absolute retracts

Martin, John R.

doi:10.1090/S0002-9939-1975-0380720-3

A generalization of absolute retracts
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by John R. Martin

Proc. Amer. Math. Soc. 52 (1975), 409-413

DOI: https://doi.org/10.1090/S0002-9939-1975-0380720-3

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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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