category of topological spaces
category whose objects are topological spaces and whose morphisms are continuous maps
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category of topological spaces
Summary
category of topological spaces is a concrete category[1]. It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[2]
Key Facts
- category of topological spaces's instance of is recorded as concrete category[3].
- category of topological spaces's instance of is recorded as bicomplete category[4].
- category of topological spaces comprises discrete space[5].
- category of topological spaces comprises codiscrete space[6].
- category of topological spaces comprises empty set[7].
- category of topological spaces comprises singleton[8].
- category of topological spaces's has characteristic is recorded as characterizations of the category of topological spaces[9].
- category of topological spaces's studied by is recorded as categorical topology[10].
- category of topological spaces's studied by is recorded as category theory[11].
- category of topological spaces's studied by is recorded as general topology[12].
- category of topological spaces's has part is recorded as topological space[13].
- category of topological spaces's has part is recorded as continuous function[14].
Body
Definition and Type
Recorded instance of include concrete category[3] and bicomplete category[4].
Use and Application
Components include discrete space[5]; codiscrete space[6]; empty set[7], a set[15]; and singleton[8].
Why It Matters
category of topological spaces has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[2] It is known by 4 alternative names across languages and contexts.[16]