regular topology

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• Regular conditional probability — is a concept that has developed to overcome certain difficulties in formally defining conditional probabilities for continuous probability distributions. It is defined as an alternative probability measure conditioned on a particular value of a… …   Wikipedia

• Regular space — In topology and related fields of mathematics, regular spaces and T3 spaces are particularly convenient kinds of topological spaces.Both conditions are examples of separation axioms. Definitions Suppose that X is a topological space. X is a… …   Wikipedia

• Regular measure — In mathematics, a regular measure on a topological space is a measure for which every measurable set is approximately open and approximately closed .DefinitionLet ( X , T ) be a topological space and let Σ be a sigma; algebra on X that contains… …   Wikipedia

• Regular homotopy — In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another. In particular, the homotopy must go through immersions and extend continuously to a homotopy of the… …   Wikipedia

• Base (topology) — In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B. We say that the base generates the topology T. Bases are… …   Wikipedia

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• Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

• Locally regular space — In mathematics, particularly topology, a topological space X is locally regular if intuitively it looks locally like a regular space. More precisely, a locally regular space satisfies the property that each point of the space belongs to a subset… …   Wikipedia

• Particular point topology — In mathematics, the particular point topology (or included point topology) is a topology where sets are considered open if they are empty or contain a particular, arbitrarily chosen, point of the topological space. Formally, let X be any set and… …   Wikipedia

• Product topology — In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more obvious,… …   Wikipedia

• Zariski topology — In algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition. It is due to Oscar Zariski and took a place of particular importance in the field around… …   Wikipedia