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An iterated fibration of Eilenberg-Mac lane spaces. Every topological space has this homotopy type.

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 ...

A curvature of a submanifold of a manifold which depends on its particular embedding. Examples of extrinsic curvature include the curvature and torsion of curves in ...

The principal normal indicatrix of a closed space curve with nonvanishing curvature bisects the area of the unit sphere if it is embedded.

The Poincaré hyperbolic disk is a two-dimensional space having hyperbolic geometry defined as the disk {x in R^2:|x|<1}, with hyperbolic metric ...

A normed vector space X=(X,||·||_X) is said to be uniformly convex if for sequences {x_n}={x_n}_(n=1)^infty, {y_n}={y_n}_(n=1)^infty, the assumptions ||x_n||_X<=1, ...

A property of a space which is also true of each of its subspaces. Being "first-countable" is hereditary, but having a given genus is not.

An integral of motion which restricts the phase space available to a dynamical system.

The problem of deciding if two knots in three-space are equivalent such that one can be continuously deformed into another.

A mathematical structure (e.g., a group, vector space, or smooth manifold) in a category.