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A fibration p: E -+ B is principal if there exists a "classi- .... relation to principal fibrations as the notion of H-space does to that of loop-space. ...
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PRINCIPAL FIBRATIONS. Let X be a simplicial set, G a simplicial group and p: ... equivalence classes of principal fibrations with base X and group G are in ...
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[3] P. J. Hilton, On excision and principal fibrations, Comment. Math. Helv. ... [7] J. F. McClendon, Relative principal fibrations, to appear. ...
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Various other people have considered principal fibrations slightly differently. ..... that our definition of a Ganea-principal fibration does not require i ...
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Let $p:E -> B$ be a principal fibration with classifying map $w:B -> C$. It is well-known that the group $[X,\Omega C]$ acts on $[X,E]$ with orbit space the ...
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isotrivial homogeneous principal fibration over a non-singular variety ... and homogeneous principal fibrations over 1-dimensional regular schemes. ...
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principal fibration, there is defined a linear connectivity with horizontal ... With each point of principal fibration H(V n, G) we can connect a variable ...
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A locally trivial analytic fibration on the fibres of which the structure Lie group acts simply transitively and analytically. In other words, a principal analytic fibration is a quadruple where and are analytic spaces (cf. Analytic space) over a field ;
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2) If is a differentiable manifold and is a Lie group, then, taking to be the category of fibrations over , taking as group object the projection , and defining a topology in with the aid of families of open coverings, it is possible to obtain the definition of a principal -fibration.
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It is familiar from topology that one can form the path fibration PX→X of a topological space. This can be understood as an example of a general construction where one computes homotopy pullbacks of the point – or, if things are not groupoidal, comma objects. ... principal bundle...
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