Quotient topology

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Given a quotient map between two spaces, the quotient topology is the topology induced by this map on the codomain. It is the finest topology for which the quotient map is continuous.
  1. Andrew McCrady
  2. Quotient topology
  3. Topological spaces
  4. Open sunsets
  5. Continuous function
  6. Topology
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Комментарии
Автор

How does this all relate to the quotient space? There’s so many variations of definitions for these things that I’m getting really confused.

Anteater
Автор

Wait so you can define the quotient topology strictly using a topological space and an onto continuous function only? How and by what are you modding out ?

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