Theorems · Theorem · category theory

TopCat.coinduced_of_isColimit

∀ {J : Type v} [inst : CategoryTheory.Category.{w, v} J] {F : CategoryTheory.Functor J TopCat}
  (c : CategoryTheory.Limits.Cocone F) (hc : CategoryTheory.Limits.IsColimit c),
  c.pt.str = ⨆ j, TopologicalSpace.coinduced (⇑(CategoryTheory.ConcreteCategory.hom (c.ι.app j))) (F.obj j).str

Defined in

Mathlib.Topology.Category.TopCat.Limits.Basic

Cited by

3 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category