Karl Jones: Created page with "In mathematics, '''pointless topology''' (also called '''point-free''' or '''pointfree topology''') is an approach to topology that avoids mentioning points. == Descr..."

2016-09-22T17:53:31Z

Created page with "In mathematics, '''pointless topology''' (also called '''point-free''' or '''pointfree topology''') is an approach to topology that avoids mentioning points. == Descr..."

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In [[mathematics]], '''pointless topology''' (also called '''point-free''' or '''pointfree topology''') is an approach to [[topology]] that avoids mentioning points.

== Description ==

The name 'pointless topology' is due to [[John von Neumann]].

The ideas of pointless topology are closely related to mereotopologies in which regions (sets) are treated as foundational without explicit reference to underlying point sets.

== See also ==

* [[Heyting algebra]]. A locale is a [[complete Heyting algebra]].
* Details on the relationship between the category of topological spaces and the category of locales, including the explicit construction of the duality between [[Sober space|sober spaces]] and spatial locales, are to be found in the article on [[Stone duality]].
* [[Point-free geometry]]
* [[Mereology]]
* [[Mereotopology]]

== External links ==

* [https://en.wikipedia.org/wiki/Pointless_topology Pointless topology] @ Wikipedia.org

[[Category:Mathematics]]
[[Category:Topology]]

Pointless topology - Revision history

Karl Jones: Created page with "In mathematics, '''pointless topology''' (also called '''point-free''' or '''pointfree topology''') is an approach to topology that avoids mentioning points. == Descr..."