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Topic: Which term to choose?
Replies: 41   Last Post: Nov 9, 2013 5:20 AM

 Messages: [ Previous | Next ]
 William Elliot Posts: 2,637 Registered: 1/8/12
Re: Partition of a filter
Posted: Nov 6, 2013 10:38 PM

On Wed, 6 Nov 2013, Victor Porton wrote:
> William Elliot wrote:
> > On Tue, 5 Nov 2013, Victor Porton wrote:

> >> > As for Conjecture 4.153, obviously no,
> >> > a filter cannot be partitioned into ultrafilters because
> >> > all the ultrafilters contain the same top element.
> >> >
> >> > Do you mean this instead?
> >> >
> >> > If F is a filter for S, can F be partitioned
> >> > into ultrafilters for subsets of S?

> >>
> >> I mean that filter can be partitioned into ultrafilters in the REVERSE
> >> order.

> >
> > What does order have to do with it? A partition of a set S, or a
> > collection of sets like filters are, is a pairwise disjoint collection
> > whose union is S.

>
> No, for filters I define it differently. See my book:
>
> http://www.mathematics21.org/algebraic-general-topology.html

Not possible. Where, in the old numbering is the definition?

> (I fact I define it in two different ways, which are not equivalent.)

Date Subject Author
10/25/13 Victor Porton
10/25/13 Peter Percival
10/25/13 fom
10/25/13 William Elliot
10/26/13 William Elliot
10/26/13 Victor Porton
10/26/13 William Elliot
10/27/13 Victor Porton
10/27/13 William Elliot
10/28/13 Victor Porton
10/29/13 William Elliot
10/29/13 Victor Porton
10/30/13 William Elliot
10/30/13 Victor Porton
10/30/13 William Elliot
10/31/13 Victor Porton
11/1/13 William Elliot
11/1/13 Victor Porton
11/1/13 William Elliot
11/2/13 Victor Porton
11/2/13 William Elliot
11/3/13 Victor Porton
11/3/13 Victor Porton
11/3/13 William Elliot
11/4/13 William Elliot
11/4/13 Victor Porton
11/5/13 William Elliot
11/5/13 Victor Porton
11/6/13 William Elliot
11/6/13 Victor Porton
11/6/13 William Elliot
11/7/13 Victor Porton
11/7/13 William Elliot
11/8/13 William Elliot
11/8/13 Victor Porton
11/8/13 William Elliot
11/9/13 Victor Porton
11/9/13 William Elliot
11/9/13 William Elliot
11/9/13 Victor Porton
10/26/13 Victor Porton