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topological

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topological

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This braket notation of kets and bras can be generalised, becoming maps of vector spaces associated with topological spaces that allow tensor products. en.wikipedia.org

It can be called a principled theory, based on duality theory for topological vector spaces. en.wikipedia.org

This is indeed a generalization, since every group can be considered a topological group by using the discrete topology. en.wikipedia.org

Strong equivalence of two metrics implies topological equivalence, but not vice versa. en.wikipedia.org

In most examples, the objects are mathematical structures (such as sets, vector spaces, or topological spaces) and the morphisms are functions between these structures. en.wikipedia.org

The classical examples include vector bundles, principal bundles and sheaves over topological spaces. en.wikipedia.org

Then, any topological sort of this graph is a valid instruction schedule. en.wikipedia.org

Weak orders have also been used in computer science, in partition refinement based algorithms for lexicographic breadth-first search and lexicographic topological ordering. en.wikipedia.org

Every manifold has an underlying topological manifold, obtained simply by forgetting the additional structure. en.wikipedia.org

This is distinct from topological nets which generalise limits. en.wikipedia.org

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