Talk:Finite intersection property

Finite intersction axiom

Some definitions of compactness invoke the finite intersection axiom, related to axiom of choice by Tychonoff's theorem; the relationship is not clear to me just right now. I guess this is an article request. linas 02:16, 21 November 2005 (UTC)

Merge with centered system of sets

Yesterday I wrote an article about the definition of centered system of sets. Today I saw that it has been proposed to be merged with this article, since the two notions are the same.

I don't know how the two terms emerged. The term centered system of sets seams to be uncommon in English literature and my guess is that it originated in Russian and found it's way into English books through translations.

I am willing to do the merging. How should the merger of two definitions in mathematics go? Create a section in the destination article about the alternative naming?

Sogartar (talk) 07:42, 4 February 2010 (UTC)

There wasn't any useful information at centered system of sets, so I've redirected it and added a note at the top of this article mentioning the definition—so perhaps technically a merge, but nothing was copied over. xnn (talk) 22:28, 24 February 2010 (UTC)

Grammar

Is "has non-empty intersection" proper English, or should it be "has a non-empty intersection"?