Editing Strong topology

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In [[mathematics]], a '''strong topology''' is a [[topology]] which is stronger than some other "default" topology. This term is used to describe different topologies depending on context, and it may refer to:

* the [[final topology]] on the [[disjoint union (topology)|disjoint union]]
* the topology arising from a [[normed vector space|norm]]
* the [[strong operator topology]]
* the [[strong topology (polar topology)]], which subsumes all topologies above.

A topology τ is stronger than a topology σ (is a [[Comparison of topologies|finer topology]]) if τ contains all the open sets of σ.

In [[algebraic geometry]], it usually means the topology of an [[algebraic variety]] as [[complex manifold]] or subspace of [[complex projective space]], as opposed to the [[Zariski topology]] (which is rarely even a [[Hausdorff space]]).

== See also ==
* [[Weak topology]]

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[[Category:Topology]]