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- W2000719543 abstract "In the first part of this note, we mainly get the following conclusions. If X is a regular space with a nested local base at a point a of X and Y is discretely generated at a point b of Y, then X×Y is discretely generated at 〈a,b〉. We finally show that if X is a GO-space and Y is a discretely generated space then X×Y is discretely generated. In the last part of this note, we mainly get the following conclusions. If X is a locally compact GO-space and there exists a closed discrete set F such that for any point x∈X∖F, there is a neighborhood Vx of x in X such that Vx×Y is weakly discretely generated, where Y is a weakly discretely generated space, then X×Y is weakly discretely generated. If X is a locally compact GO-space such that X×Y is weakly discretely generated and lX∖X is scattered, where lX is a linearly ordered compactification of X and Y is a weakly discretely generated space, then lX×Y is weakly discretely generated." @default.
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- W2000719543 date "2014-01-01" @default.
- W2000719543 modified "2023-09-30" @default.
- W2000719543 title "A note on products of (weakly) discretely generated spaces" @default.
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- W2000719543 doi "https://doi.org/10.1016/j.topol.2013.10.038" @default.
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