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A relation that partitions a set into equivalence classes.
wp-equivalencenlab-equivalence-relationgierz-orderEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
First specialize to an endorelation ; restrict to equivalence relations.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-equivalencegierz-orderEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The equivalence relation determines the quotient-set representatives; the topology is then the finest topology making the quotient map continuous.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
topology-without-tears