Skip to content
May 26, 2011 / porton

A new theorem about funcoids and generalizated filter bases

I proved the following theorem:

Theorem If S is a generalized filter base then \left\langle f \right\rangle \bigcap{\nobreak}^{\mathfrak{F}} S = \bigcap {\nobreak}^{\mathfrak{F}} \left\langle\left\langle f \right\rangle \right\rangle S for every funcoid f.

The proof (presented in updated version of this online article) is short but not quite trivial.

It was originally formulated as a conjecture.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: