Strong homology is not additive

Mardešić, S.; Prasolov, A. V.

doi:10.1090/S0002-9947-1988-0940224-7

Strong homology is not additive
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by S. Mardešić and A. V. Prasolov PDF

Trans. Amer. Math. Soc. 307 (1988), 725-744 Request permission

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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