Definition of Topologies. Meaning of Topologies. Synonyms of Topologies

- different topologies. For instance, the real line, the complex plane, and the Cantor set can be thought of as the same set with different topologies. Formally...
- invariably, a physical bus topology. Two basic categories of network topologies exist, physical topologies and logical topologies. The transmission medium...
- not generally the union of those topologies (the union of two topologies need not be a topology) but rather the topology generated by the union. Every complete...
- In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
- different topologies. If a set is given a different topology, it is viewed as a different topological space. Any set can be given the discrete topology in which...
- allow crossover among topologies, applying speciation (the evolution of species) to preserve innovations, and developing topologies incrementally from simple...
- mathematics, pointless topology, also called point-free topology (or pointfree topology) and locale theory, is an approach to topology that avoids mentioning...
- completely normal Hausdorff space. The standard topologies on R, Q, Z, and N are the order topologies. If Y is a subset of X, X a totally ordered set...
- discrete topology on a given set is left adjoint to G.) List of topologies Triviality (mathematics) Keegan Smith, "Adjoint Functors in Algebra, Topology and...
- Grothendieck topologies. Conversely, there are Grothendieck topologies that do not come from topological spaces. The term "Grothendieck topology" has changed...