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| Paper IPM / M / 463 |
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| Abstract: | |
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Some topological properties of almost P-spaces are studied in
[4],[9], [12] and [15]. In this paper, we give some algebraic
characterizations of these spaces. Also, we obtain some more
properties for these spaces. It is shown that the one-point
compactification of a locally compact space X is an almost
P-space if and only if X is a non-Lindel·· of
almost P-space. Using this, we reduce some problems concerning
compact almost P-spaces to locally compact ones. It is shown
that a locally compact almost P-space of cardinality less than
2ℵ1 has an uncountable dense set of isolated points.
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