A Modified Wallman Method of Compactification
Affiliation(s)
Department of Mathematics, Texas A&M University, Kingsville, USA. University of Texas at San Antonio, San Antonio, USA.
Department of Mathematics, Texas A&M University, Kingsville, USA. University of Texas at San Antonio, San Antonio, USA.
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.
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
[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