The indiscernible topology: A mock zariski topology

Journal of Mathematical Logic 1 (01):99-124 (2001)
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Abstract

We associate with every first order structure [Formula: see text] a family of invariant, locally Noetherian topologies. The structure is almost determined by the topologies, and properties of the structure are reflected by topological properties. We study these topologies in particular for stable structures. In nice cases, we get a behaviour similar to the Zariski topology in algebraically closed fields.

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Citations of this work

Theories with equational forking.Markus Junker & Ingo Kraus - 2002 - Journal of Symbolic Logic 67 (1):326-340.
Equational theories of fields.Amador Martin-Pizarro & Martin Ziegler - 2020 - Journal of Symbolic Logic 85 (2):828-851.
Comparing axiomatizations of free pseudospaces.Olaf Beyersdorff - 2009 - Archive for Mathematical Logic 48 (7):625-641.

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References found in this work

A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
Fundamentals of forking.Victor Harnik & Leo Harrington - 1984 - Annals of Pure and Applied Logic 26 (3):245-286.
Closed sets and chain conditions in stable theories.Anand Pillay & Gabriel Srour - 1984 - Journal of Symbolic Logic 49 (4):1350-1362.
A note on equational theories.Markus Junker - 2000 - Journal of Symbolic Logic 65 (4):1705-1712.

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