Document Type

Article

Department

Mathematics (HMC)

Publication Date

1957

Abstract

Let C(X) denote the ring of all continuous real-valued functions on a completely regular space X. If X and Y are completely regular spaces such that one is dense in the other, say X is dense in Y, and every f ε C(X) has a (unique) extension f E C(Y), then C(X) and C(Y) are said to be strictly isomorphic. In a recent paper [2], L. J. Heider asks if it is possible to associate with the completely regular space X a dense subspace μX minimal with respect to the property that C(μX) and C(X) are strictly isomorphic.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,482.

Final pdf, posted with permission.

Published by the University of Michigan Department of Mathematics.

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© 1957 University of Michigan

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