Whitney-sums (fibre-joins) in over space theory and obstruction theory for cohomology with local coefficients
1990 ◽
Vol 115
(3-4)
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pp. 359-365
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Keyword(s):
SynopsisThe generalised Whitney sum (fibre-join) and the h-fibre-join can be defined in topM, the category of spaces over M. We note here some general properties of these constructions, and, as a specific example, we consider the relation between them and the extensions to the topM category of the top h-fibre-sequences F∗ΩB→E ∪ CF→B determined by top fibrations F→E→B. As an application we obtain the truncated local coefficient cohomology sequence for a top fibration which is topM principal fibration: this situation applies, for example, to the various stages of the Postnikov decomposition of a non-simply connected space X, and in this case we have M = K1(π1(X)).
Keyword(s):
2004 ◽
Vol 20
(6)
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pp. 1131-1134
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2011 ◽
Vol 13
(1)
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pp. 273-296
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2018 ◽
Vol 29
(14)
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pp. 1850087
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Keyword(s):
2014 ◽
Vol 58
(1)
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pp. 27-32
1992 ◽
Vol 122
(1-2)
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pp. 127-135
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1976 ◽
Vol 55
(1)
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pp. 155-155
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1991 ◽
Vol 51
(1)
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pp. 118-153
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