Global ETD Search
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 51 for “"Morphisms"”.
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Morphisms.
… discuss my Master of Fine Arts exhibition, <em>Morphisms</em>, hosted by Slocomb Galleries on the campus of East Tennessee State University March 22 through March 26, 2010. The exhibit includes works created during the artist's three year study at East Tennessee State University.</p><p>The …
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The pullback closure, perfect morphisms and completions
… Notably they have been used to characterise epimorphisms and investigate cowellpoweredness in specific categories, to generalise Hausdorff separation through diagonal theorems, and to extend topological notions such as compactness of objects and perfectness of morphisms to abstract categories. …
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Morphisms of networks of hybrid open systems
… a theory of networks of hybrid open systems and morphisms. This theory builds upon a framework of networks of continuous-time open systems as product and interconnection. We work out categorical notions for hybrid systems, deterministic hybrid systems, hybrid open systems, networks of hybrid open …
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On the existence of complex-valued harmonic morphisms
… method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing …
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The Categories of Graphs
… not necessarily distinct, and the graph morphisms must map edges to edges and vertices to vertices while preserving incidence. We refer to these restricted morphisms as <i>strict morphisms</i>. We relax the conditions on the graphs by allowing any number of edges to be incident to any two …
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The Categories of Graphs
… not necessarily distinct, and the graph morphisms must map edges to edges and vertices to vertices while preserving incidence. We refer to these restricted morphisms as <i>strict morphisms</i>. We relax the conditions on the graphs by allowing any number of edges to be incident to any two …
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Maps and localizations in the category of Segal spaces
… 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 of Segal …
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Sums and covers in categories
… structures of Alex Simpson. We show that morphisms from sum structures to product structures exhibit matrix representations. We study extensivity for sum structures, and focus on extensivity relative to cover-reflecting morphisms. We introduce and explore a new class of morphisms, called …
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Extensivity relative to a bifunctor
… of functors, and the second as a property of morphisms in the category. This thesis explores both perspectives. The morphism-focused viewpoint is captured through extensive morphisms, which allow one to study extensivity in categories that are not themselves extensive. From the functorial …
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Topos-like Properties in Two Categories of Graphs and Graph-like Features in an Abstract Category
… Category of Simple Loopless Graphs with Strict Morphisms in which the graphs are simple and loopless and the incidence preserving morphisms are restricted to sending edges to edges, and the second subcategory is the Category of Simple Graphs with Strict Morphisms where at most one loop is …
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Topos-like Properties in Two Categories of Graphs and Graph-like Features in an Abstract Category
… Category of Simple Loopless Graphs with Strict Morphisms in which the graphs are simple and loopless and the incidence preserving morphisms are restricted to sending edges to edges, and the second subcategory is the Category of Simple Graphs with Strict Morphisms where at most one loop is …
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Towards characterizing morphims between high dimensional hypersurfaces
… field of characteristic zero. Paper 1 concerns morphisms between hypersurfaces in Pn, n =/> 4. We show that if the two hypersurfaces involved in the morphism are of general type, then the morphism of hypersurfaces extends to an everywhere-defined endomorphism of Pn. A corollary is that if X …
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From game comonads to dynamical systems: property-preserving maps as a logical unifying principle
… forms of relations between structures: coKleisli morphisms, games, and truth-preserving maps. By coordinating these concepts and proving their equivalence, we apply them across diverse contexts, selecting the appropriate framework for each scenario. CoKleisli morphisms are used to derive …
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Numerical generation of semisimple tortile categories coming from quantum groups
… of the associativity, commutativity and duality morphisms in a quite general class of tortile categories. The source of the categories we study is the work of Gelfand and Kazhdan, Examples of tensor categories, Invent.Mlath. 109 (l992), 595-617. They proved that, associated to the quantized …
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Soergel Diagrammatics for Dihedral Groups
… is embedded inside this category as the degree 0 morphisms between color-alternating objects. The indecomposable Soergel bimodules are the images of Jones-Wenzl projectors. When W is finite, the Temperley-Lieb category must be taken at an appropriate root of unity, and the negligible Jones-Wenzl …
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Structural features of persistent homology and their algorithmic transformations
… the (co)images and (co)kernels arising from morphisms of complexes. The main body of work then presents an alternative approach to persistent homology, based on filtrations of vector spaces. We elaborate with an interesting example whose persistent homology is readily computed as a quotient …
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Categories of spaces built from local models
… one identifies a distinguished class of ring homomorphisms corresponding to open immersions of schemes; second, one defines the notion of an open covering in terms of these distinguished homomorphisms; and finally, one embeds the opposite of the category of commutative rings in an ambient category …
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Event-B in the Institutional Framework: Defining a Semantics, Modularisation Constructs and Interoperability for a Specification Language
… there are constructs (known as institution (co)morphisms) that provide us with the facility to create interoperability between formalisms in a mathematically sound way. The main contribution of this thesis is the definition of an institution for Event-B, EVT, which allows us to address its …
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Generalized Fixed-Point Algebras for Twisted C*-Dynamical Systems
… Hilbert C*-modules form a category, where morphisms are twisted-equivariant adjointable operators, and we will establish that Meyer’s bra-ket operators are morphisms between certain objects in this category. A by-product of our work is a twisted-equivariant version of Kasparov’s …
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Higher direct images of ideal sheaves, correspondences in log Hodge cohomology and globally F-full varieties
… sheaves under (a restricted class of) birational morphisms of pairs in arbitrary characteristic, and as an application extends some foundational results in the theory of rational pairs that were previously known only in characteristic 0. Chapter 2 discusses correspondences in logarithmic Hodge …
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