(topology) A property of a topological space that is invariant under homeomorphisms.

plural of Zariski topology

(mathematics) A field that is also a topological space in which addition and multiplication are both continuous.

plural of topological field

(algebraic geometry) Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

plural of Alexandrov topology

(topology) A topology in which the intersection of any family of open sets is an open set.

plural of pointless topology

(mathematics) An approach to topology that avoids mentioning points.

(topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper.