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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

There is just one rational cone-length


Author: Octavian Cornea
Journal: Trans. Amer. Math. Soc. 344 (1994), 835-848
MSC: Primary 55P62; Secondary 55P50
MathSciNet review: 1260200
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Abstract: We show that the homotopic nilpotency of the algebra of piecewise polynomial forms on a simply-connected, finite type, CW-complex coincides with the strong L.S. category of the rationalization of that space. This is used to prove that, in the rational, simply-connected context all reasonable notions of cone-length agree. Both these two results are obtained as parts of a more general and functorial picture.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1260200-X
PII: S 0002-9947(1994)1260200-X
Article copyright: © Copyright 1994 American Mathematical Society