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whose generic fibre $ \mathfrak A _ {K} $ of the generic fibres there exists a unique morphism $ \overline \phi \; : \mathfrak X

...rata of a morphism and topological stability of generic smooth mappings ( "generic" meaning transverse to the natural stratification of the jet space). ...ghbourhood]] of $X$ in $M$, $\pi _ { X } : T _ { X } \rightarrow X$ is the fibre projection associated to $T _ { X }$ and the tubular function $\rho _ { X }

at the vertex, and also with the degree of the special fibre $ \sigma ^ {-1} ( x) $ is cut by a generic hypersurface through $ x $.

...be developed for groups of finite Morley rank, specifically the notions of generic type, connected component, and stabilizer. Another important technical tool ...built up from a set of Morley rank $1$ by a finite sequence of "definable fibre bundles" .

whose generic fibre is a non-singular elliptic curve. Every elliptic surface is birationally (b to a unique minimal model, which is characterized by the fact that the fibre of $ \pi $

...foliations, a special analogue of the theory of characteristic classes of fibre bundles, based on the homology theory of Lie algebras of vector fields, was A major achievement of the methods of differential topology is the theory of "generic" singularities of mappings and functions. The methods of differential topol

...ases are '''[[Vector bundle]]''', '''[[Tangent bundle]]''', '''[[Principal fibre bundle]], $\dots$ ...ref> and the ''base'', and $F$ yet another topological space called the ''(generic) fiber'', such that the preimage $F_b=\pi^{-1}(b)\subset E$ of every point

of the fibre over this point, provided with a [[Hodge structure|Hodge structure]]. The H ...|}} </TD></TR><TR><TD valign="top">[a11]</TD> <TD valign="top"> D.A. Cox, "Generic Torelli and infinitesimal variation of Hodge structure" S.J. Bloch (ed.) ,

with fibre ...rsection of a countable number of open dense subsets. A property is called generic if it holds for all $ f $

is isomorphic to the general fibre $ X _ \eta $ ...theorem, e.g. it has been proven that equality holds in the theorem for a generic curve in the sense of moduli; this reference also gives a survey of recent

...em are all of the same dimension, or even of the same kind (apart from non-generic degeneracies). one usually speaks of a fibre bundle instead of a fibration.