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.
Algebraic K -theory of spaces
2 Pith papers cite this work. Polarity classification is still indexing.
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math.KT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Defines algebraic K-theory for unbounded chain complexes via Abel summation, proves it non-trivial, and shows the usual K-theory of R maps into it with an infinite cyclic subgroup in the image.
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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.
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The Abel Summation Method and Infinite Euler Characteristic
Defines algebraic K-theory for unbounded chain complexes via Abel summation, proves it non-trivial, and shows the usual K-theory of R maps into it with an infinite cyclic subgroup in the image.