Grzegorczyk and Whitehead points: the story continues
Logic
2023-10-03 v2 General Topology
Abstract
One of the main goals of region-based theories of space is to formulate a geometrically appealing definition of points. The paper is devoted to the analysis of two such seminal definitions: Alfred N. Whitehead's (1929) and Andrzej Grzegorczyk's (1960). Relying on the work of Loredana Biacino's and Ginagiacomo Gerla's (1996), we improve their results, solve some open problems concerning the mutual relationship between Whitehead and Grzegorczyk points, and put forward open problems for future investigation.
Keywords
Cite
@article{arxiv.2303.08664,
title = {Grzegorczyk and Whitehead points: the story continues},
author = {Rafał Gruszczyński and Santiago Jockwich Martinez},
journal= {arXiv preprint arXiv:2303.08664},
year = {2023}
}
Comments
21 pages, 1 figure