A combinatorial characterization of second category subsets of X^ω

Details A combinatorial characterization of second category subsets of X^ω A combinatorial characterization of second category subsets of X^ω

1999-12-07

arxiv.org/abs/math/9912056v4

Journal of Natural Geometry 18 (2000), pp.125-130

Mathematics

Logic

with a counterexample by T. Bartoszynski, to appear in J. Nat. Geom

Scientific paper

Let a finite non-empty X is equipped with discrete topology. We prove that S
\subseteq X^\omega is of second category if and only if for each f:\omega ->
\bigcup_{n \in \omega} X^n there exists a sequence {a_n}_{n \in \omega}
belonging to S such that for infinitely many i \in \omega the infinite sequence
{a_{i+n}}_{n \in \omega} extends the finite sequence f(i).

Affiliated with

Also associated with

No associations

Rating

A combinatorial characterization of second category subsets of X^ω does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A combinatorial characterization of second category subsets of X^ω, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A combinatorial characterization of second category subsets of X^ω will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-660600