On Ciesielski's problems

Details On Ciesielski's problems On Ciesielski's problems

1998-01-15

arxiv.org/abs/math/9801155v1

J. Appl. Anal. 3 (1997), 191-209

Mathematics

Logic

Scientific paper

We discuss some problems posed by Ciesielski. For example we show that, consistently, d_c is a singular cardinal and e_c R there are functions g_n,h_n:R ---> R, n< omega, such that f(x,y)= sum_{n=0}^{infty} g_n(x)h_n(y). Finally, we deal with countably continuous functions and we show that in the Cohen model they are exactly the functions f with the property that (for all U in [R]^{aleph_1})(exists U^* in [U]^{aleph_1}) (f restriction U^* is continuous).

Affiliated with

Also associated with

No associations

Rating

On Ciesielski's problems 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 Ciesielski's problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Ciesielski's problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170113