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A pseudocompact meta-lindeöf space which is not compact
Topology and its Applications, 1985 A Tychonoff space is pseudocompact if every countable open filter base has a cluster point. A space is called meta-Lindelöf provided every open cover of the space has a point-countable open refinement. The example constructed in this paper (described in the title) can be compared with a theorem of D. K. Burke and S. W.
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Effect of bile acid derivatives on taurine biosynthesis and extracellular slime production in encapsulated Staphylococcus aureus S-7. [PDF]
Infect Immun, 1981 Ohtomo T, Yoshida K, San Clemente CL.
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Products of sequentially pseudocompact spaces
, 2012 We show that the product of any number of sequentially pseudocompact topological spaces is still sequentially pseudocompact. The definition of sequential pseudocompactness can be given in (at least) two ways: we show their equivalence. Some of the results of the present note already appeared in A. Dow, J. R. Porter, R. M. Stephenson, R. G.
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Pseudocompact and Stone-Weierstrass product spaces [PDF]
Pacific Journal of Mathematics, 1982 openaire +3 more sources
The topological product of two pseudocompact spaces [PDF]
Czechoslovak Mathematical Journal, 1960 openaire +1 more source
On Coincidence Points in Pseudocompact Tichonov Spaces
Journal of Ultra Scientist of Physical Sciences Section A, 2017 openaire +1 more source
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Pseudocompact $$\varDelta $$-spaces are often scattered
Monatshefte Fur Mathematik, 2021The following definition was given in [\textit{J. Kąkol} and \textit{A. Leiderman}, Proc. Am. Math. Soc., Ser. B 8, 86--99 (2021; Zbl 1473.54018)]: A space \(X\) is a \(\Delta\)-\emph{space} if for any decreasing sequence \(\mathcal{S}=\{X_n:n\in\omega\}\) of subsets of \(X\) with empty intersection, there exists a sequence \(\{U_n:n\in\omega\}\) of ...
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