Cardinal functions on continuous images of orderable compacta and applications
General Topology
2016-11-15 v2
Abstract
The class of Hausdorff spaces that are continuous images of compact orderable spaces is studied by analyzing the relationship between the elements of this class and compact orderable spaces in a back-and-forth fashion. Structure results for this class are then obtained, as well as continuum-theoretic embedding results. Applications to Boolean algebras are also demonstrated, specifically concerning the relationship between interval algebras and pseudo-tree algebras.
Keywords
Cite
@article{arxiv.1207.6377,
title = {Cardinal functions on continuous images of orderable compacta and applications},
author = {Ahmad Farhat},
journal= {arXiv preprint arXiv:1207.6377},
year = {2016}
}