A Hölder-summable Euler characteristic is defined for unbounded chain complexes, and the Grothendieck group of the associated category with cofibrations and weak equivalences is uncountable.
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An Euler Characteristic for Unbounded Chain Complexes
A Hölder-summable Euler characteristic is defined for unbounded chain complexes, and the Grothendieck group of the associated category with cofibrations and weak equivalences is uncountable.