Phrase Hound found 26 phrases and 12 compound words that contain topology. The most common are listed below. Open topology in the live search for definitions, filters, and the full list.
Phrases 26
- network topologyThe physical arrangement of a network; the way in which cables are arranged in order to connect computers in a network.
- algebraic topologyThe branch of mathematics that uses tools from abstract algebra to study topological spaces.
- discrete topologyA topology on a set consisting of all subsets of that set.
- Zariski topologyOriginally, 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 …
- pointless topologyAn approach to topology that avoids mentioning points.
- differential topologyField dealing with differentiable functions on differentiable manifolds.
- product topologyThe 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 …
- point-set topologyThe general field of topology, not restricting attention to specific classes of spaces, and not using algebraic topology.
- disjoint union topologyA topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.
- Grothendieck topologyA structure on a category which makes the category's objects act like the open sets of a topological space.
- Alexandrov topologyA topology in which the intersection of any family of open sets is an open set.
- relative topologysubspace topology
- ring topologyA network topology in which, in the physical case, every node of a network is connected to exactly two other nodes: one node designated as upstream and the other as downstream. A given node receives data from its upstream node and sends …
- trivial topologyA topology consisting only of the empty set and the underlying set.
- subspace topologyThe topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X.
- bus topologyA (computer) network topology in which the nodes are all connected at different points to a line called a bus.
- circuit topologyThe arrangement of intermolecular contacts of a folded linear polymer.
- final topologyGiven a set X, a family of topological spaces (M#95;i,T#95;i)#95;#123;i#92;inI#125; and a family of functions f#95;i#58;M#95;i#92;toX, the final topology is the finest topology on X such that all f#95;i are continuous.
- initial topologyGiven a set X, a family of topological spaces (M#95;i,T#95;i)#95;#123;i#92;inI#125; and a family of functions f#95;i#58;X#92;toM#95;i, the initial topology is the coarsest topology on X such that all f#95;i are continuous.
- Scott topologyA topology on a partially ordered set, consisting of the Scott-open subsets of that set.
- standard topologyThe topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.
- star topologyA physical network topology in which all nodes are connected to a central connectivity device (e.g. a hub).
- cofinite topologyA topology consisting of the empty set and all cofinite subsets of the underlying set.
- pointfree topologySynonym of pointless topology: An approach to topology that avoids mentioning points.
- link topologyThe study of the linked structure of the World Wide Web.
Compound words 12
- psychotopologyThe psychological dimension of place; the impact of the physical environment on one's emotional and mental state; psychogeography.
- ditopologyA dichotomous topology; A topology that includes two structures: one describing the properties related to openness of sets, the other describing the properties related to closedness of sets.
- electrotopologyThe topology of the electron orbitals of an atom or molecule
- hypertopologyThe topology of hyperspace.
- mereotopologyA theory combining mereology and topology, investigating relations between parts and wholes and boundaries between them.
- microtopologyVery small-scale topology (typically of a surface)
- nanotopologynanoscale topology
- retopologizeTo redefine the mesh of a 3D model at a lower resolution
- retopologyModification of the topology of an object.
- subtopologysubspace topology