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Class of topologies in spaces of continuous functions
I. I. Perepechai Khar'kov State University
Abstract:
Let $S$ be an arbitrary topological space, and let $C(S)$ be the space of continuous real-valued functions on $S$. A certain class of topologies on $C(S)$ is studied. Some cases are indicated in which topologies of a given class on $C(S)$ are topologies of uniform convergence on compact sets of $S$.
Received: 07.07.1970
Citation:
I. I. Perepechai, “Class of topologies in spaces of continuous functions”, Mat. Zametki, 11:2 (1972), 201–208; Math. Notes, 11:2 (1972), 125–128
Linking options:
https://www.mathnet.ru/eng/mzm9780 https://www.mathnet.ru/eng/mzm/v11/i2/p201
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Statistics & downloads: |
Abstract page: | 132 | Full-text PDF : | 57 | First page: | 1 |
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