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This article is cited in 2 scientific papers (total in 2 papers)
On some algebraic characteristics of the algebra of all continuous functions on a locally connected compactum
M. I. Karahanyan
Abstract:
In the first part of this paper the algebra $C(X)$ is studied, and in the case of a locally connected compactum $X$ a characteristic of the algebra $C(X)$ is given from the point of view of the plentitude of roots of certain algebraic equations that it contains. In the second part a general method is given for constructing uniform algebras $A$ on suitable compacta $X$ which are different from $C(X)$ but have a number of properties in common with $C(X)$ (normality, algebraic closure, complete closure, etc.). In particular, these methods allow us to give, as a general concept, a new solution to a problem of Gleason concerning peak points.
Bibliography: 19 titles.
Received: 01.11.1977
Citation:
M. I. Karahanyan, “On some algebraic characteristics of the algebra of all continuous functions on a locally connected compactum”, Mat. Sb. (N.S.), 107(149):3(11) (1978), 416–434; Math. USSR-Sb., 35:5 (1979), 681–696
Linking options:
https://www.mathnet.ru/eng/sm2688https://doi.org/10.1070/SM1979v035n05ABEH001618 https://www.mathnet.ru/eng/sm/v149/i3/p416
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Abstract page: | 251 | Russian version PDF: | 88 | English version PDF: | 9 | References: | 51 |
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