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The Stone-Weierstrass theorem for wallman rings
Published online by Cambridge University Press: 09 April 2009
Abstract
Biles has called a subring A of the ring C(X) a Wallman ring on X whenever Z(A), the zero sets of function belonging to A, forms a normal base on X in the sense of Frink (1964). In the following, we are concerned with the uniform topology of C(X). We formulate and prove some generalizations of the Stone–Weierstrass theorem in this setting.
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- Research Article
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- Copyright © Australian Mathematical Society 1978
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