𝑇-regular-closed convergence spaces

Kent, D. C.; Richardson, G. D.; Gazik, R. J.

doi:10.1090/S0002-9939-1975-0375202-9

$T$-regular-closed convergence spaces
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by D. C. Kent, G. D. Richardson and R. J. Gazik PDF

Proc. Amer. Math. Soc. 51 (1975), 461-468 Request permission

Abstract:

It is known that a convergence space which has a regular compactification is almost identical to a completely regular topological space. It is shown that a less restricitive class of convetgence spaces have $T$-regular-closed extensions with the universal property of the Stone-Čech compactification.

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