On unions of 𝜈-embedded sets

On unions of $\nu$-embedded sets
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by Hidenori Tanaka PDF

Proc. Amer. Math. Soc. 79 (1980), 474-476 Request permission

Let A be a realcompact and C-embedded subspace of a space X and let B be a v-embedded subspace of a space X. Then $A \cup B$ is v-embedded in X.

References

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Akio Kato, Union of realcompact spaces and Lindelöf spaces, Canadian J. Math. 31 (1979), no. 6, 1247–1268. MR 553159, DOI 10.4153/CJM-1979-104-8