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Paper IPM / M / 463  


Abstract:  
Some topological properties of almost Pspaces 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 onepoint
compactification of a locally compact space X is an almost
Pspace if and only if X is a nonLindel·· of
almost Pspace. Using this, we reduce some problems concerning
compact almost Pspaces to locally compact ones. It is shown
that a locally compact almost Pspace of cardinality less than
2^{ℵ1} has an uncountable dense set of isolated points.
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