No CrossRef data available.
The relative Mayer–Vietoris sequence
Published online by Cambridge University Press: 24 October 2008
Extract
The object of this paper is to generalize the relative Mayer-Vietoris sequence of Eilenberg and Steenrod([3], p. 42) by allowing both the containing spaces and the subspaces to vary. Fix a generalized homology theory h*. We call a couple of spaces {X1, X2} excisive (for h*) if they are subspaces of some larger space and the inclusion (X1, X1 ∩ X2) → (X1 ∪ X2, X2) induces an isomorphism under h* (see [4], pp. 208–9 for equivalent definitions).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 423 - 425
- Copyright
- Copyright © Cambridge Philosophical Society 1984
References
REFERENCES
[1]Adams, J. F.. Stable Homotopy and Generalised Homology. Chicago Lectures in Mathematics (University of Chicago Press, 1974).Google Scholar
[2]Eckmann, B. and Hilton, P. J.. Homotopy groups of maps and exact sequences. Comment. Math. Helv. 34 (1960), 271–304.CrossRefGoogle Scholar
[3]Eilenberg, S. and Steenrod, N.. Foundations of Algebraic Topology. Princeton Math. series 15 (Princeton University Press, 1952).Google Scholar
[5]Switzer, R. M.. Algebraic Topology – Homotopy and Homology. Grundlehren der math. Wissenschaften 212 (Springer-Verlag, 1975).CrossRefGoogle Scholar