Part of the Universitext book series (UTX)
Every student of topology has heard of filters: If I is a nonempty set, a filter is a set F of subsets of I such that:
I ∈ F, Ø ∉ F;
if X, Y ∈ F then X ∩ Y ∈ F
if X ∈ F and X ⊂ Y, then Y ∈ F.
KeywordsFinite Subset Complete Theory Compactness Theorem Relation Symbol Constant Symbol
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 2000