DEFINABLY COMPACT ABELIAN GROUPS-Reference-Cited by-同舟云学术

DEFINABLY COMPACT ABELIAN GROUPS

Published:2004-12 Issue:02 Volume:04 Page:163-180
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

EDMUNDO MÁRIO J.¹,OTERO MARGARITA²

Affiliation:

1. CMAF Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal

2. Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Abstract

Let M be an o-minimal expansion of a real closed field. Let G be a definably compact definably connected abelian n-dimensional group definable in M. We show the following: the o-minimal fundamental group of G is isomorphic to ℤn; for each k>0, the k-torsion subgroup of G is isomorphic to (ℤ/kℤ)n, and the o-minimal cohomology algebra over ℚ of G is isomorphic to the exterior algebra over ℚ with n generators of degree one.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061304000358

Reference11 articles.

1. o-MINIMAL FUNDAMENTAL GROUP, HOMOLOGY AND MANIFOLDS

2. Transfer methods for o-minimal topology

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