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.
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© Springer Science+Business Media New York 2000