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A real-linear vector space H equipped with a symplectic form s.

A vector field is a section of its tangent bundle, meaning that to every point x in a manifold M, a vector X(x) in T_xM is associated, where T_x is the tangent space.

The Reidemeister move of type I.

Half a zip-pair.

An h-cobordism is a bordism W between two manifolds M_1 and M_2 such that W is simply connected and the inclusion maps M_1->W and M_2->W are homotopy equivalences.

n-dimensional Euclidean space.

Connectivity properties obey the following hierarchy: convex => star convex => pathwise-connected => connected.

Donaldson (1983) showed there exists an exotic smooth differential structure on R^4. Donaldson's result has been extended to there being precisely a continuum of ...

A branch of topology dealing with topological invariants of manifolds.

A pointed space is a topological space X together with a choice of a basepoint x in X. The notation for a pointed space is (X,x). Maps between two pointed spaces must take ...