On the Pytkeev property in spaces of continuous functions

Details On the Pytkeev property in spaces of continuous functions On the Pytkeev property in spaces of continuous functions

2006-06-12

arxiv.org/abs/math/0606270v5

Proceedings of the American Mathematical Society 136 (2008), 1125-1135

Mathematics

General Topology

Scientific paper

10.1090/S0002-9939-07-09070-3

Answering a question of Sakai, we show that the minimal cardinality of a set
of reals X such that C_p(X) does not have the Pytkeev property is equal to the
pseudo-intersection number p. Our approach leads to a natural characterization
of the Pytkeev property of C_p(X) by means of a covering property of X, and to
a similar result for the Reznicenko property of C_p(X).

Affiliated with

Also associated with

No associations

Rating

On the Pytkeev property in spaces of continuous functions 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 On the Pytkeev property in spaces of continuous functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Pytkeev property in spaces of continuous functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648010