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A note on Alexander's duality
Published online by Cambridge University Press: 26 February 2010
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In [3] Pontrjagin proved the following form of the Alexander duality theorem:
Theorem A. Let K be a sub-polyhedron of the n–dimensional sphere, Sn. Let G, G* be orthogonal topological groups, G being compact. Then Hr(K; G) and Hn–r–1(Sn–K; G*) are orthogonal with the product of αεHr(K; G) and αεHn−r−1(SnK; G) determined as the linking coefficientof some cycle of class a with some cycle of class α
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- Copyright © University College London 1956
References
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