TITLE:
A Modified Wallman Method of Compactification
AUTHORS:
Hueytzen J. Wu, Wan-Hong Wu
KEYWORDS:
Closed Ãx-Filter; Open and Closed C*D-Filter Bases; Basic Open and Closed C*D-Filters; Compactification; Stone-Cech and Wallman Compactifications
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.6,
September
30,
2013
ABSTRACT: Closed and basic closed C*D-filters are
used in a process similar to Wallman method for compactifications of the
topological spaces Y, of which, there
is a subset of C*(Y) containing a non-constant function, where C*(Y) is the set of bounded real continuous functions on Y. An arbitrary Hausdorff compactification (Z,h) of a Tychonoff space X can be obtained by using basic closed C*D-filters
from in a similar way,
where C(Z) is the set of real continuous functions on Z.