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Theorems · Theorem · category theory

CompHaus.effectiveEpi_tfae

∀ {B X : CompHaus} (π : X ⟶ B),
  [CategoryTheory.EffectiveEpi π, CategoryTheory.Epi π,
      Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom π)].TFAE
Defined in
Mathlib.Topology.Category.CompHaus.EffectiveEpi
Cited by
2 results in Mathlib
Foundations
Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
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CompHaus.effectiveEpiFamily_tfae · cited by 3CompHaus.effectiveEpiFami…Condensed.epi_iff_locallySurjective_on_compHaus · cited by 2Condensed.epi_iff_locally…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierContinuousMap · cited by 2491ContinuousMapTopCat · cited by 1889TopCatCategoryTheory.Epi · cited by 688CategoryTheory.EpiCompHausLike.toTop · cited by 258CompHausLike.toTopCompHausLike · cited by 145CompHausLikeList.TFAE · cited by 102List.TFAECategoryTheory.EffectiveEpi · cited by 86CategoryTheory.EffectiveE…List.tfae_of_cycle · cited by 83List.tfae_of_cycleCompHaus · cited by 61CompHausCompHausLike.effectiveEpiStruct · cited by 5CompHausLike.effectiveEpi…CompHaus.epi_iff_surjective · cited by 2CompHaus.epi_iff_surjecti…CompHaus.effectiveEpi_tfaeCITED BYCITES

Cites15

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Cited by2

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