isoEquivHomeo — Mathlib

English

Same as isoEquivHomeo, establishing the equivalence between isos and homeomorphisms.

Русский

Аналогично: эквивалентность между изоморфизмами и гомеоморфизмами.

LaTeX

$$$\\text{isoEquivHomeo} : (X \\cong Y) \\simeq (X \\approx Y)$$$

Lean4

/-- The equivalence between isomorphisms in `CompactlyGenerated` and homeomorphisms
of topological spaces. -/
@[simps]
def isoEquivHomeo {X Y : CompactlyGenerated.{u, w}} : (X ≅ Y) ≃ (X ≃ₜ Y)
    where
  toFun := homeoOfIso
  invFun := isoOfHomeo

Похожие утверждения