Covering dimension and finite-to-one maps

Details Covering dimension and finite-to-one maps Covering dimension and finite-to-one maps

2009-10-21

arxiv.org/abs/0910.4107v1

Mathematics

General Topology

Scientific paper

10.1016/j.topol.2011.08.017

Hurewicz' characterized the dimension of separable metrizable spaces by means of finite-to-one maps. We investigate whether this characterization also holds in the class of compact F-spaces of weight c. Our main result is that, assuming the Continuum Hypothesis, an n-dimensional compact F-space of weight c is the continuous image of a zero-dimensional compact Hausdorff space by an at most 2n-to-1 map.

Affiliated with

Also associated with

No associations

Rating

Covering dimension and finite-to-one maps 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 Covering dimension and finite-to-one maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covering dimension and finite-to-one maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-144400