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$K$-theory of co-existentially closed continua

Logic 2024-01-24 v2 General Topology K-Theory and Homology

Abstract

We describe the possible values of KK-theory for C(X)C(X) when XX is a co-existentially closed continuum. As a consequence we also show that all pseudo-solenoids, except perhaps the universal one, are not co-existentially closed.

Keywords

Cite

@article{arxiv.2309.00746,
  title  = {$K$-theory of co-existentially closed continua},
  author = {Christopher J. Eagle and Joshua Lau},
  journal= {arXiv preprint arXiv:2309.00746},
  year   = {2024}
}

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16 pages