Geodesic
Quotient spaces and multiplicity of a base
Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 487-496 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\tau$. \smallskip 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. 
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V. V. Filippov. Quotient spaces and multiplicity of a base. Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 487-496. http://geodesic.mathdoc.fr/item/SM_1969_9_4_a4/

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