Theorems · Theorem · category theory

TopCat.induced_of_isLimit

∀ {J : Type v} [inst : CategoryTheory.Category.{w, v} J] {F : CategoryTheory.Functor J TopCat}
  (c : CategoryTheory.Limits.Cone F) (hc : CategoryTheory.Limits.IsLimit c),
  c.pt.str = ⨅ j, TopologicalSpace.induced (⇑(CategoryTheory.ConcreteCategory.hom (c.π.app j))) (F.obj j).str

Defined in

Mathlib.Topology.Category.TopCat.Limits.Basic

Cited by

3 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category