On extending mappings into nonlocally convex linear metric spaces
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Abstract:
It is proved that the following spaces are absolute retracts: every $F$-space with a Schauder basis and certain function spaces along with their subgroups of integer-valued elements. It is also observed that for every $\sigma$-compact convex set, the absolute extension property for compacta implies the AR-property.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 555-560
- MSC: Primary 54C55; Secondary 46E30, 54D45, 57N17
- DOI: https://doi.org/10.1090/S0002-9939-1985-0774022-7
- MathSciNet review: 774022