1,841 research outputs found

    Homotopy types of Spin <sup>c</sup>(n) -gauge groups over S<sup>4</sup>

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    The gauge group of a principal G-bundle P over a space X is the group of G-equivariant homeomorphisms of P that cover the identity on X. We consider the gauge groups of bundles over S4 with Spin c(n) , the complex spin group, as structure group and show how the study of their homotopy types reduces to that of Spin (n) -gauge groups over S4 . We then advance on what is known by providing a partial classification for Spin (7) - and Spin (8) -gauge groups over S4 .</p

    Homotopy types of gauge groups of PU (p) -bundles over spheres

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    We examine the relation between the gauge groups of SU (n) - and PU (n) -bundles over S2i, with 2 ≤ i≤ n, particularly when n is a prime. As special cases, for PU (5 ) -bundles over S4, we show that there is a rational or p-local equivalence G2,k≃ (p)G2,l for any prime p if, and only if, (120 , k) = (120 , l) , while for PU (3 ) -bundles over S6 there is an integral equivalence G3,k≃ G3,l if, and only if, (120 , k) = (120 , l).</p

    Rea A.,Tripier M. — Sociologie de l'immigration

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    Kateb Kamel, Simon Patrick. Rea A.,Tripier M. — Sociologie de l'immigration. In: Population, 59ᵉ année, n°3-4, 2004. pp. 623-624

    Homotopy types of gauge groups of principal bundles with certain non-simply connected structure groups

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    The gauge group of a principal G-bundle P over a space X is the group of G-equivariant homeomorphisms of P that cover the identity on X. To date, the study of the homotopy theory of gauge groups has been focused primarily on principal bundles whose structure groups are simply-connected, mainly due to the inherent complexity of the case of non-simply-connected structure groups.In this thesis, we carry out a systematic study of the homotopy types of gauge groups of principal bundles with two families of non-simply connected structure groups: namely, the projective unitary groups PU(n), particularly with n prime, and the complex spin groups Spinc(n). These are defined as quotients of U(n) by its centre, and of the product Spin(n) U(1) by the diagonal action, respectively.We examine the relation between the gauge groups of SU(n)- and PU(n)-bundles over the even dimensional sphere S2i, with 2 i n. As special cases, for U(5)-bundles over S4, we show that there is a rational or p-local equivalence G2;k '(p) G2;l for any prime p if, and only if, (120; k) = (120; l), while for PU(3)-bundles over S6 there is an integral equivalence G3;k ' G3;l if, and only if, (120; k) = (120; l).We also study the gauge groups of bundles over S4 with Spinc(n) as structure group and show that there is a decomposition Gk(Spinc(n)) ' S1 Gk(Spin(n)). This implies that the homotopy theory of Spinc(n)-gauge groups reduces to that of Spin(n)-gauge groups over S4. We then advance on what is known by providing a partial classification for Spin(7)- and Spin(8)-gauge groups over S4

    sj-docx-1-rea-10.1177_17470161231176932 – Supplemental material for Reshaping consent so we might improve participant choice (II) – helping people decide

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    Supplemental material, sj-docx-1-rea-10.1177_17470161231176932 for Reshaping consent so we might improve participant choice (II) – helping people decide by Hugh Davies, Rosie Munday, Maeve O’Reilly, Catriona Gilmour Hamilton, Arzhang Ardahan, Simon E Kolstoe and Katie Gillies in Research Ethics</p

    REA analysis of SAP HCM; some initial findings

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    This paper explores further the claim that the Transaction-Oriented Architecture (TOA) based on the principles of Resources, Events, Agents (REA) can enhance Enterprise Resource Planning (ERP) systems by providing a principled theoretical basis that can underpin ERP business process implementations. We provide details of some of our initial findings of the REA/TOA analysis which we carried out on the SAP Human Capital Management (HCM) module. Given that SAP is recognized as the dominant ERP system with over 50% of the market share, this technology is viewed as the representative case study technology for exploring the theory of REA in actual ERP systems. In particular O’Leary’s and Dunn et al.’s works are expanded upon, substantiating O’Leary’s findings that SAP was found to be consistent with REA in its database, semantic and structure orientations. Using SAP’s HCM module as the exemplar, two notable discoveries are made. These are namely (i) identifying that several anomalies exist in the underlying data model, and (ii) that there are many more REA entities than previously discovered by Dunn et al. Through the SAP HCM exemplar it is shown that REA adds value to modelling business processes in ERP systems

    sj-docx-1-rea-10.1177_17470161241235910 – Supplemental material for Reshaping consent so we might improve participant choice (III) – How is the research participant’s understanding currently checked and how might we improve this process?

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    Supplemental material, sj-docx-1-rea-10.1177_17470161241235910 for Reshaping consent so we might improve participant choice (III) – How is the research participant’s understanding currently checked and how might we improve this process? by Hugh Davies, Simon E Kolstoe and Anthony Lockett in Research Ethics</p

    Automated REA (AREA): a software toolset for a machine-readable resource-event-agent (REA) ontology specification

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    This paper demonstrates a toolset developed by the authors to enable a machine-readable REA ontology specification. Information modelling tech-niques are used to provide a unified enterprise ontology by capturing the busi-ness semantics using Conceptual Graphs (CGs) using Common Logic (CL) and the Conceptual Graph Interchange Format (CGIF) dialect for information ex-change and transmission. Formal Concept Analysis (FCA) is used for model verification, knowledge discovery and extraction. The enterprise design follows the Open Groups definition of the TOGAF Architecture Development Method (ADM) to define the system architecture and subsequently provide a method for defining and automating the (REA) design models for; Business Architecture, Information System Architecture and Technology Architecture
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