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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Strong homology is not additive


Authors: S. Mardešić and A. V. Prasolov
Journal: Trans. Amer. Math. Soc. 307 (1988), 725-744
MSC: Primary 55N35
MathSciNet review: 940224
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Abstract: Using the continuum hypothesis (CH) we show that strong homology groups $ \overline {{H_p}} (X)$ do not satisfy Milnor's additivity axiom. Moreover, CH implies that strong homology does not have compact supports and that $ \overline {{H_p}} (X)$ need not vanish for $ p < 0$.


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DOI: https://doi.org/10.1090/S0002-9947-1988-0940224-7
Keywords: Strong homology, Steenrod homology, additivity, derived functors, inverse limits, derived limits, strong shape
Article copyright: © Copyright 1988 American Mathematical Society