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A topological structure which interpolates between contact structures and codimension-one foliations.

Disconnectivities are mathematical entities which stand in the way of a space being contractible (i.e., shrunk to a point, where the shrinking takes place inside the space ...

A property that passes from a topological space to all its quotient spaces. This is true for connectedness, local connectedness and separability, but not for any of the ...

The surface with three cross-caps (Francis and Collins 1993, Francis and Weeks 1999).

If f:E->B is a fiber bundle with B a paracompact topological space, then f satisfies the homotopy lifting property with respect to all topological spaces. In other words, if ...

A formula which counts the number of fixed points for a topological transformation.

The space join of a topological space X and a point P, C(X)=X*P.

A pair of zips, each zip being half a zipper, which can be zippered up to close a surface along a curve. The concept of a zip-pair can be extremely useful in topological ...

A topological space X in which each subset of X of the "first category" has an empty interior. A topological space which is homeomorphic to a complete metric space is a Baire ...

Each centered convex body of sufficiently high dimension has an "almost spherical" k-dimensional central section.