Displaying similar documents to “Relative homological categories.”

Higher monodromy.

Polesello, Pietro, Waschkies, Ingo (2005)

Homology, Homotopy and Applications

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Cohomologial dimension of Laumon 1-motives up to isogenies

Nicola Mazzari (2010)

Journal de Théorie des Nombres de Bordeaux

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We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension ≤ 1 . As a consequence this implies the same result for the category of formal Hodge structures of level ≤ 1 (over ℚ ).

Object-Free Definition of Categories

Marco Riccardi (2013)

Formalized Mathematics

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Category theory was formalized in Mizar with two different approaches [7], [18] that correspond to those most commonly used [16], [5]. Since there is a one-to-one correspondence between objects and identity morphisms, some authors have used an approach that does not refer to objects as elements of the theory, and are usually indicated as object-free category [1] or as arrowsonly category [16]. In this article is proposed a new definition of an object-free category, introducing the two...