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High Quality Content by WIKIPEDIA articles! In mathematics, a cobordism (W, M, M ) of an (n + 1)-dimensionsal manifold (with boundary) W between its boundary components, two n-manifolds M and M (n.b.: the original creator of this topic, Jean-Claude Hausmann, used the notation M for the right-hand boundary of the cobordism), is called a semi-s-cobordism if (and only if) the inclusion M hookrightarrow W is a simple homotopy equivalence (as in an s-cobordism) but the inclusion M^- hookrightarrow W is not a homotopy equivalence at all.

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High Quality Content by WIKIPEDIA articles! In mathematics, a cobordism (W, M, M ) of an (n + 1)-dimensionsal manifold (with boundary) W between its boundary components, two n-manifolds M and M (n.b.: the original creator of this topic, Jean-Claude Hausmann, used the notation M for the right-hand boundary of the cobordism), is called a semi-s-cobordism if (and only if) the inclusion M hookrightarrow W is a simple homotopy equivalence (as in an s-cobordism) but the inclusion M^- hookrightarrow W is not a homotopy equivalence at all.