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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Extensions of functions and spaces
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by Giovanni Viglino PDF
Trans. Amer. Math. Soc. 179 (1973), 61-69 Request permission

Abstract:

We investigate, for a given map $\varphi$ from a topological space X to a topological space Y (denoted by $[X,\varphi ,Y]$), those triples $[E,\Phi ,Y]$ where E is an extension of X and $\Phi$ extends $\varphi$ to E. A maximal such extension, similar to the Katětov extension of a topological space, is examined.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 179 (1973), 61-69
  • MSC: Primary 54C20
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0322785-3
  • MathSciNet review: 0322785