Developable spaces and 𝑝-spaces

Kullman, David E.

doi:10.1090/S0002-9939-1971-0271899-9

Developable spaces and $p$-spaces
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by David E. Kullman

Proc. Amer. Math. Soc. 27 (1971), 154-160

DOI: https://doi.org/10.1090/S0002-9939-1971-0271899-9

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Abstract:

In this paper it is shown that the following statements are equivalent, for a completely regular space $X$. (i) $X$ is a developable space. (ii) $X$ is a strict $p$-space with a ${\bar G_\delta }$-diagonal. (iii) $X$ is a $\theta$-refinable $p$-space with a ${G_\delta }$-diagonal.

References

Une condition nécessaire et suffisante pour qu’une classe $(L)$ soit une classe

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