33 search results - page 1 / 7 » On countable choice and sequential spaces |
MLQ
2008
13 years 5 months ago
2008
Abstract: Under the axiom of choice, every first countable space is a Fr
MLQ
2000
13 years 4 months ago
2000
We study the relationship between the countable axiom of choice and the Tychonoff product theorem for countable families of topological spaces.
MSCS
2007
13 years 4 months ago
2007
MLQ
2010
13 years 3 months ago
2010
: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
IJSI
2008
13 years 5 months ago
2008
Abstract In a line of recent development, probabilistic constructions of universal, homogeneous objects have been provided in various categories of ordered structures, such as caus...