Monotonizations of countable paracompactness
by
Chris Good
University of Birmingham
Coauthors: Lylah Haynes

There are many very different looking characterizations of countable paracompactness. One characterization says that if {D_n:n Î N} is a decreasing sequence of closed sets with empty intersection then there is a sequence of open sets U_n such that U_n contains D_n and the intersection of the closures of the U_n is empty.

It turns out that monotonizing this definition in the 'obvious' way (so that if D_n gets bigger then so does U_n) results in an interesting property related to stratifiability. In this talk we look at what happens if you monotonize some of the other definitions in the obvious way.

Date received: June 16, 2004