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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 68 for “"functors"”.
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Derived functors.
Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1966. Ph.D.
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A COMPARISON BETWEEN GEOMETRIC QUASI-FUNCTORS AND FOURIER-MUKAI FUNCTORS
Nella mia tesi di Dottorato mi sono occupato della relazione tra la più importante classe di funtori tra categorie derivate, ovvero quella dei funtori di Fourier-Mukai, e i quasi-funtori che sono i morfismi nella localizzazione Hqe dalla categoria delle dg categorie rispetto alle …
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Categories with projective functors
… introduce the notion of category with projective functors. It is then applied to describe the right (or left) exact functors on various categories of representations of semi simple Lie algebras. Other applications are the description of the algebra of adjoint finite endomorphisms of a simple …
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On Fourier-Mukai type functors
In this thesis we study functors between bounded derived categories of sheaves and how they can be expressed in a geometric way, namely whether they are isomorphic to a Fourier-Mukai transform. Specifically, we describe the behavior of a functor between derived categories of smooth projective …
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Stabilizing spectral functors of exact categories
This Dissertation was approved for publication on 2017-07-13 at 15:08.
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Cosimplicial invariants and Calculus of homotopy functors
… relies heavily on the fact that the functors involved take values in Spectra. Goodwillie conjectured the extension of these results to include the case of functors taking value in Spaces. The main result of my thesis is a proof of this conjecture (Theorem 7.1.2), using significantly …
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Behavior and confluence analysis of M-adhesive transformation systems using M-functors
… we have developed an abstract framework of M-functors. This framework is introduced first for transformation systems containing only rules without nested application conditions and is then extended to rules with nested application conditions. This extension is non-trivial concerning the …
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Obstructions to Constructing the Taylor Tower of Finite Degree Functors of Spectra
In this thesis, we introduce a new way to construct the Taylor tower of a (homotopy, reduced and finite degree) functor F from spectra to spectra. As a result, the notion of Tate obstructions as defined by Randy McCarthy is studied and generalized to the notion of higher order obstructions. These …
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The fine structure of translation functors, the triangle function and a construction of R-matrices
… this result in order to compare translation functors. <br>We also describe a transformation for quantum dynamical R-matrices.
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Unstable Modules with Only the Top k Steenrod Operations
… dimension at most k. We establish forgetful functors, suspension functors, loop functors and Frobenius functors between such modules. The forgetful functors induce an inverse system of Ext groups, and the inverse system stabilizes when the covariant module is bounded above. We define an …
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On Using Graphical Calculi: Centers, Zeroth Hochschild Homology and Possible Compositions of Induction and Restriction Functors in Various Diagrammatical Algebras
… compositions of the induction and restriction functors in the cyclotomic quotients of the NilHecke algebra. We use a computer program to obtain partial results.
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On THH and TAQ of Commutative S-Algebras
Also, using functional equations, we define functors that generalize standard examples from calculus of one variable. Examples of such functors are discussed and their Taylor towers are computed. We also show that these functors factor through objects enriched over the homology of little n-cubes …
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A Systematic Study of Injective Envelopes
We explore functors between operator space categories, some properties of these functors, and establish relations between objects in these categories and their images under these functors, in particular regarding injectivity and injective envelopes. We also compare the purely categorical definition …
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Algebraic exponentiation and internal homology in general categories
… objects for the so-called split extension functors in semi-abelian and more general categories, whose familiar examples are automorphism groups of groups and derivation algebras of Lie algebras. We prove that such objects exist in categories of generalized Lie algebras defined with respect …
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Goodwillie calculus and I
… maps in Goodwillie's calculus of homotopy functors. By careful analysis of the cross-effects of a reduced endofunctor of based spaces, this point of view leads to a monoidal model for the derivatives. Such structure induces operad and module structures for derivatives of monads and their …
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Connections on conformal blocks
… in terms of the action of infinitesimal Hecke functors on the category of quasi-coherent sheaves on Bung. This family of functors, parametrized by the Ran space of X, acts by averaging a quasi-coherent sheaf over infinitesimal modifications of G-bundles at prescribed points of X. We show that …
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O-minimal homology
… of this dissertation is to define homology functors for the category of definable sets and definable continuous maps in an o-minimal expansion of an ordered field. Both simplicial and singular homology functors are defined, and they are shown to satisfy the Eilenberg-Steenrod axioms. The …
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Computing the Goodwillie-Taylor tower for discrete modules
… We present a new resolution for these atomic functors, which allows us to easily compute their Goodwillie polynomial approximations. By a rank filtration, any functor from finite sets to chain complexes is built from atomic functors. Computing the linear approximation of an atomic functor is a …
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Maps and localizations in the category of Segal spaces
… for homotopy theories. We show that Quillen functors induce morphisms in this category and that the morphisms induced by Quillen pairs are "adjoint" in a useful sense. Quillen's original total derived functors are then obtained as a suitable localization of these morphisms within the category …
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Beyond orthogonal calculus: the unitary and real cases
… real and complex vector spaces we construct functors between the orthogonal and unitary calculi, allowing for movement between these two versions of calculus, and direct comparisons of the Taylor towers. We introduce a class of functors, which we call ``weakly polynomial'' and we show that …
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