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A single wavy line, a weaker equivalence than homeomorphism.
Also known as: Homotopy equivalent sign, Weak equivalence sign, Single tilde
Homotopy equivalence allows continuous deformation including collapsing: a disc is homotopy equivalent to a point, though it is not homeomorphic to one. The single tilde marks that weaker relation, and confusing it with the homeomorphism sign asserts something much stronger than intended.
States that two spaces are homotopy equivalent — connected by maps whose composites are homotopic to identities.
Contexts: Mathematics
Is strictly weaker than homeomorphism: every homeomorphism is a homotopy equivalence and not conversely.
Contexts: Mathematics
A single horizontal wavy stroke, one full wave, set between two space names at mid-height.