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Zariski Topology

prior to the Grothendieck revolution of the late 1950s and 1960s) the Zariski topology was defined in the following way.

Zariski Topology is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Zariski Topology books and related discussion.

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only the Zariski topology, and its relation to our intuitive picture is tenuous at best.
Math 465 Lecture Notes
Math 465 Lecture Notes. Brendan Hassett. January 23, 2004.
Algebraic Geometry: Lecture 3 Zariski Topology. Given a set X, a
Zariski Topology. Given a set X, a topology on X is just a list T of subsets of X that satisfy the following properties: (1) ∅ ∈ T, X ∈ T. (2) If A1,A2,...
1.1. Algebraic sets and the Zariski topology. We have said in the
Jan 1, 2010 We define the Zariski topology on An. (and hence on any . The Zariski topology is the standard topology in algebraic geometry.
Categories and functors, the Zariski topology, and the functor Spec
Categories and functors, the Zariski topology, and the functor Spec. We do not want to dwell too much on set-theoretic issues but they arise naturally here.

Suggested Web Resources

Zariski topology - Wikipedia, the free encyclopedia
In algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition.
Zariski Topology -- from Wolfram MathWorld
PlanetMath: Zariski topology
Let $\A_k^n$ denote the affine space $k^n$ over a field $k$ .
Zariski Topology
Jan 24, 2001 Zariski Topology. We define below the so-called Zariski topology on algebraic varieties.
Zariski Topology and Regular Functions
Nov 18, 1997 The Zariski topology. Let X be a variety. Thus, we can be considering X \subset A n or X \subset Pn.

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