K-theory of co-existentially closed continua

Christopher J. Eagle, Joshua Lau


We describe the possible values of $K$-theory for $C(X)$ when $X$ 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.


Continua; Existentially closed models; K-theory; solenoid; pseudo-arc

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DOI: https://doi.org/10.4115/jla.2024.16.1

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Journal of Logic and Analysis ISSN:  1759-9008