also fails to be a fibration. The following is a direct consequence of the alternative definition of a fibration using the homotopy fibre: Theorem. Every...

varieties without a minimal model. Ample line bundle Fiber bundle Fibration Quasi-fibration Matsuki, Kenji (2002), Introduction to the Mori program, Universitext...

a fibration, then the homotopy fiber is simply the fiber of the replacement fibration. We recall this construction of replacing a map by a fibration: Given...

his PhD in 1951 from the University of Paris. His thesis, titled Espaces fibrés en sphères et carrés de Steenrod (Sphere bundles and Steenrod squares),...

trivial Kan fibration. In other words, while the composition law is not uniquely defined, it is unique up to a contractible choice. Given a quasi-category...

elliptic fibration over the projective line. Kodaira surfaces Dolgachev surfaces Shioda modular surfaces Most of the fibers of an elliptic fibration are (non-singular)...

homotopy inverse. Analysis Situs approximate fibration 1.  An approximate fibration, a generalization of a fibration and a projection in a locally trivial bundle...

category D(A). In any model category, a fibration that is also a weak equivalence is called a trivial (or acyclic) fibration. A cofibration that is also a weak...

Simplicially enriched category Weak Kan complex (also called quasi-category, ∞-category) ∞-groupoid Fibration of simplicial sets See Goerss and Jardine, page 7 See...

correspondence, and introduced Dold manifolds, Dold–Puppe stabilization, and Dold fibrations. Albrecht Dold was born in Triberg, and studied mathematics and physics...

satisfying a local triviality condition Fibration – Concept in algebraic topology Natural bundle Quasi-fibration – Concept from mathematics Seifert fiber...

{\displaystyle TOP} of topological spaces. Quasi-coherent sheaves on schemes: Quasi-coherent sheaves form a fibred category over the category of schemes....

latter condition may also correspond to a quasi-elliptic fibration.) It follows that having an elliptic fibration is a codimension-1 condition on a K3 surface...

bi-elliptic surface, is a surface whose Albanese morphism is an elliptic fibration. Any such surface can be written as the quotient of a product of two elliptic...

partly in the air above the conductor resulting in quasi-TEM transmission. Despite the drawbacks of the quasi-TEM mode, microstrip is often favoured for its...

{\displaystyle -1} , then the fibration is called minimal. For example, if X {\displaystyle X} admits a (minimal) genus 0 fibration, then is X {\displaystyle...

theoretical fracture mechanics and fracture of quasi-brittle materials, in particular of concrete, fibre-reinforced cementitious composites, and advanced...

An optical fiber, or optical fibre, is a flexible glass or plastic fiber that can transmit light from one end to the other. Such fibers find wide usage...

of de Broglie–Bohm causal trajectories. Basil Hiley has shown that the quasi-probability distribution may be understood as the density matrix re-expressed...

20 cell rings is one of 5 fibrations within the fibration of 12 of 72 decagons: a fibration of a fibration. All the fibrations have this two level structure...

Anna; Pinter, Pascal; Weidenmann, Kay (December 2017). "Investigation of Quasi-Static and Dynamic Material Properties of a Structural Sheet Molding Compound...

Carbon fiber-reinforced polymers (American English), carbon-fibre-reinforced polymers (Commonwealth English), carbon-fiber-reinforced plastics, carbon-fiber...

surface is a quasi-elliptic surface over an algebraic curve of genus g greater than 1, such that all fibers are irreducible and the fibration has a section...

{\displaystyle [0,1]} .) This definition is formally dual to that of a fibration, which is required to satisfy the homotopy lifting property with respect...

Ngô (2008) then proved the fundamental lemma for unitary groups, using Hitchin fibration introduced by Ngô (2006), which is an abstract geometric analogue of the...

aptly characterized as a quasi-physiological system that interacts with the human body. Clothing can be considered as a quasi-physiological system that...

\lambda =0,1} where the curves degenerate into nodal curves. So there is a fibration E λ ⟶ X ↓ A λ 1 − { 0 , 1 } {\displaystyle {\begin{matrix}E_{\lambda }&\longrightarrow...

can construct a category of quasi-coherent sheaves similar to the category of quasi-coherent sheaves over a scheme. A quasi-coherent sheaf is roughly one...

space. quasi-separated A morphism f : Y → X is called quasi-separated or (Y is quasi-separated over X) if the diagonal morphism Y → Y ×XY is quasi-compact...

point of the theory is that the geometric realization of a Kan fibration is a Serre fibration of spaces. With the model structure in place, a homotopy theory...