Long line (topology)
id:
long-line-topology-214-1846852
title:
Long line (topology)
text:
In topology, the long line is a topological space somewhat similar to the real line, but in a certain sense "longer". It behaves locally just like the real line, but has different large-scale properties. Therefore, it serves as an important counterexample in topology. Intuitively, the usual real-number line consists of a countable number of line segments [ 0, 1 ) laid end-to-end, whereas the long line is constructed from an uncountable number of such segments.
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space in mathematics
original url:
https://en.wikipedia.org/wiki/Long_line_(topology)
date created:
2003-10-10T23:14:09Z
date modified:
2024-09-12T15:30:32Z
main entity:
{"identifier":"Q1804923","url":"https://www.wikidata.org/entity/Q1804923"}
image:
fields total:
13
integrity:
15