Strong topology
(Redirected from Strongly continuous)
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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
- the topology arising from a 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 finer topology) if τ contains all the open sets of σ.[1]
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
[edit]References
[edit]- ↑ Bourbaki, N. (3 August 1998). General Topology: Chapters 1-4. Springer Science & Business Media. p. 29. ISBN 978-3-540-64241-1. Retrieved 20 February 2026.
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