APM  Vol.3 No.6 , September 2013
A Modified Wallman Method of Compactification
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.


Cite this paper
H. Wu and W. Wu, "A Modified Wallman Method of Compactification," Advances in Pure Mathematics, Vol. 3 No. 6, 2013, pp. 590-597. doi: 10.4236/apm.2013.36076.
References
[1]   S. Willard, “General Topology,” Addison-Wesley, Reading, 1970.

[2]   H. J. Wu and W. H. Wu, “An Arbitrary Hausdorff Compactification of a Tychonoff Space X Obtained from a C*D-Base by a Modified Wallman Method,” Topology and its Applications, Vol. 155, No. 11, 2008, pp. 1163-1168. doi:10.1016/j.topol.2007.05.021

 
 
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