A connected F-space
General Topology
2014-04-01 v1 Functional Analysis
Abstract
We present an example of a compact connected F-space with a continuous real-valued function f for which the union of the interiors of its fibers is not dense. This indirectly answers a question from Abramovich and Kitover in the negative.
Keywords
Cite
@article{arxiv.math/0403193,
title = {A connected F-space},
author = {Klaas Pieter Hart},
journal= {arXiv preprint arXiv:math/0403193},
year = {2014}
}