Skip to content
May 26, 2011 / porton

A surprisingly hard problem

I am now trying to prove or disprove this innocently looking but somehow surprisingly hard conjecture:

Conjecture 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.

Advertisements

2 Comments

Leave a Comment
  1. porton / May 26 2011 21:51

    Oh well, it is not that hard. I just proved the conjecture. (I’ll put its solution online soon.)

    Maybe this theorem will be of help solving other open problems I formulated.

Trackbacks

  1. A new theorem about funcoids and generalizated filter bases « Victor Porton's Math Blog

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: