On construction schemes: building the uncountable from finite pieces
Logic
2024-06-10 v1 General Topology
Abstract
In this Phd. thesis, a structural analysis of construction schemes is developed. The importance of this study will be justified by constructing several distinct combinatorial objects which have been of great interest in mathematics. We then continue the study of capturing axioms associated to construction schemes. From them, we construct several uncountable structures whose existence is known to be independent from the usual axioms of Set Theory.
Keywords
Cite
@article{arxiv.2406.04376,
title = {On construction schemes: building the uncountable from finite pieces},
author = {Jorge Antonio Cruz Chapital},
journal= {arXiv preprint arXiv:2406.04376},
year = {2024}
}
Comments
181 pages. This is the author's Phd. thesis, submitted under the supervision of Osvaldo Guzman and Michael Hrusak