On the existence of point countable bases in Moore spaces

Reed, G. M.

doi:10.1090/S0002-9939-1974-0348713-9

On the existence of point countable bases in Moore spaces
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Proc. Amer. Math. Soc. 45 (1974), 437-440 Request permission

Abstract:

In this paper, the author answers in the negative two questions raised by E. E. Grace and R. W. Heath concerning the existence of point countable bases in Moore spaces. These answers are obtained by a general construction technique developed by the author which associates to each first countable ${T_2}$-space a Moore space.

References

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Spaces having a $\sigma$-monotone base

A non-pointwise paracompact Moore space with a point computable base

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