Abstract
Quasicomplexes are usually understood as small (in some sense) perturbations of complexes. Of interest are not only perturbations within the category of complexes but also those going beyond this category. A sequence perturbed in this way is no longer a complex, and so it bears no cohomology. We show how to introduce the Euler characteristic for small perturbations of Fredholm complexes.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 41, No. 4, pp. 87–93, 2007
Original Russian Text Copyright © by N. N. Tarkhanov
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Tarkhanov, N.N. Euler characteristic of Fredholm quasicomplexes. Funct Anal Its Appl 41, 318–322 (2007). https://doi.org/10.1007/s10688-007-0032-9
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DOI: https://doi.org/10.1007/s10688-007-0032-9