منابع مشابه
Pull-backs of Bundles and Homotopy Invariance
We define the pull-back of a smooth principal fibre bundle, and show that it has a natural principal fibre bundle structure. Next, we analyse the relationship between pull-backs by homotopy equivalent maps. The main result of this article is to show that for a principal fibre bundle over paracompact manifolds, there is a principal fibre bundle isomorphism between pull-backs obtained from homoto...
متن کاملReflexive Pull-backs and Base Extension
We prove that Viehweg’s moduli functor of stable surfaces is locally
متن کاملBar Complexes and Formality of Pull-backs
In this note, we show that the pull-back of a fibration by a formal map is formal. The fibration is required to be totally non-homologous to zero, and to be a formal map as well. We are here referring to the notion of formality in the setting of rational homotopy theory. This result extends a theorem of Vigué-Poirrier, [10], where it is proved that the fibre of such a fibration is a formal spac...
متن کاملAn Introduction to Pull-backs of Bundles and Homotopy Invariance
We define the pull-back of a smooth principal fibre bundle, and show that it has a natural principal fibre bundle structure. Next, we analyse the relationship between pull-backs by homotopy equivalent maps. The main result of this article is to show that for a principal fibre bundle over a paracompact manifold, there is a principal fibre bundle isomorphism between pull-backs obtained from homot...
متن کاملModel transformation via pull - backs : algebra vs . heuristics ?
The paper presents a formal algebraic framework, where model transformation can be specified in a truly generic way: the source and the target metamodels are parameters of the entire procedure. In more detail, the operation is specified as a special diagram operation well known in category theory under the name of pull-back. At the heart of the approach is a mapping between the two metamodels, ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1976-0432753-7