- Zariski topology
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A particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition.
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Zariski topology
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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
Zariski geometry — In mathematics, a Zariski geometry consists of an abstract structure introduced by Ehud Hrushovski and Boris Zilber, in order to give a characterisation of the Zariski topology on an algebraic curve, and all its powers. The Zariski topology on a… … Wikipedia
ZARISKI, OSCAR — (1899–1986), U.S. mathematician. Zariski was born in Kobrin, Russia, His father was a talmudic scholar who died when Zariski was two, leaving his mother Hannah to support seven children. She did this by running a store, and in fact the family… … Encyclopedia of Judaism
Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a … Wikipedia
Oscar Zariski — (1899–1986) Born April 24, 1899(1 … Wikipedia
Nisnevich topology — In algebraic geometry, the Nisnevich topology, sometimes called the completely decomposed topology, is a Grothendieck topology on the category of schemes which has been used in algebraic K theory, A¹ homotopy theory, and the theory of motives. It … Wikipedia
List of general topology topics — This is a list of general topology topics, by Wikipedia page. Contents 1 Basic concepts 2 Limits 3 Topological properties 3.1 Compactness and countability … 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
Strong topology — In mathematics, a strong topology is a topology which is stronger than some other default topology. This term is used to describe different topologies depending on context, and it may refer to:* the final topology on the disjoint union * the… … Wikipedia
List of examples in general topology — This is a list of useful examples in general topology, a field of mathematics.* Alexandrov topology * Cantor space * Co kappa topology ** Cocountable topology ** Cofinite topology * Compact open topology * Compactification * Discrete topology *… … Wikipedia
