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Solid torus without k points homotopy equivalence

Sphere with 2 points identified homotopy equivalence

Bouquet of circles and sphere with k punctures homotopy equivalence

Bouquet of circles and plane with k punctures homotopy equivalence

Circle and punctured plane homotopy equivalence

Covering space of a cylinder

Covering space of S¹ (covering map ℝ → S¹)

Union of 2 solid tori (S¹ × S²)

Punctured plane and cylinder homeomorphism

Sphere as the quotient space of a disk

Punctured Möbius strip homeomorphism

Domino tilings of squares | MegaFavNumbers

Punctured torus homeomorphism