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Cobordism of homology manifolds - Corrigenda

Published online by Cambridge University Press:  24 October 2008

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N. Martin. ‘Cobordism of homology manifolds’

A. W. Jessop(10) has pointed out that the proof of Lemma 4·5 is wrong as the N D condition enabling the inductive use of Theorem 4·3 will not hold in the case where r = 2m + 3.

In what follows Theorem 4·3 and Lemma 4·5 are restated with slightly different conditions but with essentially similar conclusions. References to diagrams are those in the original. Paper references are those of the original together with others listed at the end here.

Type
Corrigenda
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 2 , September 1982 , pp. 375 - 378
Copyright
Copyright © Cambridge Philosophical Society 1982

References

REFERENCES

(9)Galewski, D. E. and Stern, R. J.The relationship between homology and topological manifolds via homology transversality. Inventiones Math. 39 (1977), 277–292.CrossRefGoogle Scholar
(10)Jessop, A. W. G-homology manifolds (Ph.D. Thesis, Cambridge, 1980).Google Scholar
(11)McCrory, C.Cone complexes and PL transversality. Trans. Amer. Math. Soc. 207 (1975), 269–291.CrossRefGoogle Scholar
(12)Martin, N.On the difference between homology and piecewise-linear bundles. J. London Math. Soc. (2) 6 (1973), 197–204.CrossRefGoogle Scholar
(13)Martin, N.Relative resolutions of homology manifolds. Proc. Roy. Soc. Edinburgh. Sect. A 91 (1981), 43–47.CrossRefGoogle Scholar
(14)Martin, N. Building manifold-like objects from manifold like cells. (Preprint Durham, 1982.)Google Scholar