✦ LIBER ✦

Bohr topologies and partition theorems for vector spaces

✍ Scribed by Kenneth Kunen

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 763 KB
Volume: 90
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00190-9

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✦ Synopsis

We prove a Ramsey-style theorem for sequences of vectors in an infinite-dimensional vector space over a finite field. As an application of this theorem, we prove that there are countably infinite Abelian groups whose Bohr topologies are not homeomorphic.

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