Products of sequentially compact spaces and the 𝑉-process

Rajagopalan, M.; Woods, R. Grant

doi:10.1090/S0002-9947-1977-0451219-7

Products of sequentially compact spaces and the $V$-process
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by M. Rajagopalan and R. Grant Woods

Trans. Amer. Math. Soc. 232 (1977), 245-253

DOI: https://doi.org/10.1090/S0002-9947-1977-0451219-7

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Abstract:

In this paper we produce a family of sequentially compact, locally compact, ${T_2}$ first countable, scattered and separable spaces whose product is not countably compact and thus answer a problem of C. T. Scarborough and A. H. Stone [11] in the negative. We do this using the continuum hypothesis. We also produce a completely regular, ${T_2}$, sequentially compact space K which is not p-compact for any $p \in \beta N - N$.

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Products of perfectly normal sequentially compact spaces

Products of sequentially compact spaces

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