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A transition function describes the difference in the way an object is described in two separate, overlapping coordinate charts, where the description of the same set may ...

In general, a cross is a figure formed by two intersecting line segments. In linear algebra, a cross is defined as a set of n mutually perpendicular pairs of vectors of equal ...

A topological space X fulfils the T1-separation axiom and is normal. A space fulfilling the T_4-separation axiom is said to be a T4-space.

There are three types of so-called fundamental forms. The most important are the first and second (since the third can be expressed in terms of these). The fundamental forms ...

An ordinary double point of a plane curve is point where a curve intersects itself such that two branches of the curve have distinct tangent lines. Ordinary double points of ...

An algebraic variety over a field K that becomes isomorphic to a projective space.

A subset of a topological space is called clopen if it is both closed and open.

A subset of a topological space which is compact with respect to the relative topology.

A subset A subset= X of a topological space X is said to be disconnected if it is not connected.

A nonsimply connected 3-manifold, also called a dodecahedral space.