6 search results - page 1 / 2 » Products of Compact Spaces and the Axiom of Choice |
MLQ
2002
13 years 4 months ago
2002
We study the Tychonoff Compactness Theorem for several different definitions of a compact space.
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.
JSYML
2002
13 years 4 months ago
2002
We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
ORDER
2002
13 years 4 months ago
2002
Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in th...
MSS
2008
IEEE
13 years 4 months ago
2008
IEEE
Maximal elements of a binary relation on compact subsets of a metric space define a choice function. An infinite extension of transitivity is necessary and sufficient for such a c...