Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Charles Dorsett
Pages: [65] - [74]
Received Date: July 15, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121690
In 1975, it was proven that a space is 
iff its 
space is Hausdorff. The 1975 work
motivated the introduction and investigation of weakly Po
properties, which led to the introduction and investigation of weakly
P1 and weakly P2 properties. Within recent papers, it
was established that in weakly P1 spaces 
and 
are equivalent, and in weakly P2
spaces 
and 
are equivalent. Within this paper,
infinitely many topological properties, in addition to weakly
P1 or weakly P2, are given for each weakly P1 or
weakly P2 for which each of and or and are equivalent, including the least of
all such topological property in each of the two cases.
topological properties, spaces, weakly P.
