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Mathematical Methods in Region-Based Theories of Space: The Case of Whitehead Points

Object's details: Mathematical Methods in Region-Based Theories of Space: The Case of Whitehead Points

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Provider:Repozytorium Uniwersytetu Łódzkiego

Description

Title:
Mathematical Methods in Region-Based Theories of Space: The Case of Whitehead Points
Creator:
Gruszczyński, Rafał
Contributor:
Nicolaus Copernicus University in Toruń, Department of Logic;
gruszka@umk.pl
Description:
Regions-based theories of space aim—among others—to define points in a geometrically appealing way. The most famous definition of this kind is probably due to Whitehead. However, to conclude that the objects defined are points indeed, one should show that they are points of a geometrical or a topological space constructed in a specific way. This paper intends to show how the development of mathematical tools allows showing that Whitehead’s method of extensive abstraction provides a construction of objects that are fundamental building blocks of specific topological spaces.
Object availability:
free access
Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
Date:
2024.04.12;
2023.12.04
Type:
Other
Language:
English
Format:
application/pdf
Publisher:
Wydawnictwo Uniwersytetu Łódzkiego
Relation:
Bulletin of the Section of Logic;1;
53
Subject:
Boolean contact algebras;
region-based theories of space;
point-free theories of space;
points;
spatial reasoning;
Grzegorczyk;
Whitehead;
extensive abstraction
Identifier:
0138-0680;
http://hdl.handle.net/11089/51687 ;
2449-836X;
10.18778/0138-0680.2023.29
Data provider:
Repozytorium Uniwersytetu Łódzkiego

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