Remark on o-stable pure ordered groups

In this article, we describe pure ordered groups, whose elementary theory is o-stable or o-superstable. The notion of o-stability is a natural combination of stability and o-minimality, namely, an ordered structure is called o-stable if any of its cuts are consistent with a few complete one-types.

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Publication Details

Journal
Kazakh mathematical journal.
Published
2024-12-04
DOI
https://doi.org/10.70474/5c1hpw60
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Remark on o-stable pure ordered groups

Viktor Verbovskiy
Kazakh mathematical journal.
Homotopy and Cohomology in Algebraic Topology
article

Remark on o-stable pure ordered groups

Viktor Verbovskiy
article en

Abstract

In this article, we describe pure ordered groups, whose elementary theory is o-stable or o-superstable. The notion of o-stability is a natural combination of stability and o-minimality, namely, an ordered structure is called o-stable if any of its cuts are consistent with a few complete one-types.

Kazakh mathematical journal.Vol. 22(2)
Openalex Percentile: Top 63%
Homotopy and Cohomology in Algebraic Topology
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Remark on o-stable pure ordered groups — Viktor Verbovskiy · Kazakh mathematical journal. (2024) | TGRS Research Map | TGRS