ALMOST P-SPACES

Title & Authors
ALMOST P-SPACES
Kim, Chang-Il;

Abstract
In this paper, we have characterizations of almost P-spaces which are analogous characterizations of P-spaces and we will show that if X is an almost P-space such that it is $\small{C^{*}-embedded}$ in every almost P-space in which X is embedded, then $$\small{\mid}${\upsilon}X-X$\small{\mid}${\leq}1$ and that if $$\small{\mid}${\upsilon}X-X$\small{\mid}${\leq}1$ and $\small{{\upsilon}X}$ is Lindelof, then for any almost P-space Y in which X is dense embedded, then X is $\small{C^{*}-embeded}$ in Y.
Keywords
$\small{C^{*}-embedding}$;almost P-spaces;
Language
English
Cited by
1.
MINIMAL BASICALLY DISCONNECTED COVERS OF PRODUCT SPACES,;

대한수학회논문집, 2006. vol.21. 2, pp.347-353
2.
ALMOST GP-SPACES,;

대한수학회지, 2010. vol.47. 1, pp.215-222
3.
AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE,;;

한국수학교육학회지시리즈B:순수및응용수학, 2012. vol.19. 3, pp.273-279
1.
AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE, The Pure and Applied Mathematics, 2012, 19, 3, 273
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