n-sphere - Wikipedia: "the pair of points at the ends of a (one-dimensional) line segment is 0-sphere,
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Monday, March 13, 2017
Sunday, March 12, 2017
Tuesday, February 28, 2017
↯ - Wikipedia
↯ - Wikipedia: "It is used for indicating a contradiction (the relationship between incompatible propositions) in mathematical logic"
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Saturday, January 14, 2017
Set-builder notation - Wikipedia
Set-builder notation - Wikipedia: "Defined sets by properties is also known as set comprehension, set abstraction or as defining a set's intension.
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Friday, January 13, 2017
Wednesday, January 11, 2017
Monday, January 09, 2017
Morphism - Wikipedia
Morphism - Wikipedia: "Examples[edit]
In the concrete categories studied in universal algebra (groups, rings, modules, etc.), morphisms are usually homomorphisms. Likewise, the notions of automorphism, endomorphism, epimorphism, homeomorphism, isomorphism, and monomorphism all find use in universal algebra.
In the category of topological spaces, morphisms are continuous functions and isomorphisms are called homeomorphisms.
In the category of smooth manifolds, morphisms are smooth functions and isomorphisms are called diffeomorphisms."
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In the concrete categories studied in universal algebra (groups, rings, modules, etc.), morphisms are usually homomorphisms. Likewise, the notions of automorphism, endomorphism, epimorphism, homeomorphism, isomorphism, and monomorphism all find use in universal algebra.
In the category of topological spaces, morphisms are continuous functions and isomorphisms are called homeomorphisms.
In the category of smooth manifolds, morphisms are smooth functions and isomorphisms are called diffeomorphisms."
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