A Relation Between Obstructions and Functional Cohomology Operations
نویسندگان
چکیده
منابع مشابه
Cohomology and Obstructions: Commutative Algebras
Associated with each of the classical cohomology theories in algebra has been a theory relating H (H as classically numbered) to obstructions to non-singular extensions and H with coefficients in a “center” to the non-singular extension theory (see [Eilenberg & MacLane (1947), Hochschild (1947), Hochschild (1954), MacLane (1958), Shukla (1961), Harrison (1962)]). In this paper we carry out the ...
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We consider partial liftings k : A → E of maps f : X → B, where (X,A) is a relative CW-complex and E → B is a fibration. In this situation, we have a primary obstruction to extend the partial lifting to a lifting of f on all of X, and there is an obstruction to extend k as an ordinary map into the space E. A relation between these two cohomology classes is proved when the fibre of E → B is an E...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.2307/2040668