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This article is cited in 6 scientific papers (total in 6 papers)
Quotient spaces and multiplicity of a base
V. V. Filippov
Abstract:
The basic results of the note are the following two theorems.
Theorem 1.1. Let $f\colon X\to Y$ be a biquotient $\tau$-mapping and let the space $X$ have a base whose multiplicity does not surpass $\tau$. Then the space $Y$ also has a base whose multiplicity does not surpass $\tau$.
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Theorem 2.1. Let $f\colon X\to Y$ be a quotient $s$-mapping of a space $X$ with a pointwise-countable base on a $T_2$-space $Y$ of pointwise-countable type. Then the mapping $f$ is biquotient.
References: 9 titles.
Received: 10.12.1968
Citation:
V. V. Filippov, “Quotient spaces and multiplicity of a base”, Mat. Sb. (N.S.), 80(122):4(12) (1969), 521–532; Math. USSR-Sb., 9:4 (1969), 487–496
Linking options:
https://www.mathnet.ru/eng/sm3641https://doi.org/10.1070/SM1969v009n04ABEH001291 https://www.mathnet.ru/eng/sm/v122/i4/p521
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Abstract page: | 352 | Russian version PDF: | 123 | English version PDF: | 18 | References: | 51 |
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