2,225 research outputs found

    Poincare submersions

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    We prove two kinds of fibering theorems for maps X --> P, where X and P are Poincare spaces. The special case of P = S^1 yields a Poincare duality analogue of the fibering theorem of Browder and Levine.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-2.abs.html Version 5: Statement of Theorem B corrected, see footnote p2

    The Dualizing Spectrum, II

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    To an inclusion topological groups H->G, we associate a naive G-spectrum. The special case when H=G gives the dualizing spectrum D_G introduced by the author in the first paper of this series. The main application will be to give a purely homotopy theoretic construction of Poincare embeddings in stable codimension.Comment: Fixed an array of typo

    New Methods of Documenting the Past: Recreating Public Preaching at Paul's Cross, London, in the Post-Reformation Period

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    My goal is to develop a virtual research environment for study of the performance of sermons at Paul's Cross in the churchyard of St. Paul's Cathedral, England's most important public pulpit in the early modern period, where official religious policies were defended and religious controversies of the Reformation were debated. This innovative use of digital technology will be highly multidisciplinary, combining software for architectural modeling and acoustic simulation with historic visual and textual records as well as recent archaeological evidence. We will be able to hear recordings of Paul's Cross sermons performed in its original pronunciation from various locations within the historic space and in the context of a background of extraneous noises and the hubbub of human activity, recreating the challenges both preachers and worshippers confronted in such large public gatherings

    On the homotopy invariance of configuration spaces

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    For a closed PL manifold M, we consider the configuration space F(M,k) of ordered k-tuples of distinct points in M. We show that a suitable iterated suspension of F(M,k) is a homotopy invariant of M. The number of suspensions we require depends on three parameters: the number of points k, the dimension of M and the connectivity of M. Our proof uses a mixture of Poincare embedding theory and fiberwise algebraic topology.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-35.abs.htm

    Leadership in Implementing Technology-Enhanced Learning in Educational Institutions

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    Conventional designs of educational programs are usually based on implicit instructional design approaches that look equally at all learners. However, research indicates that learning is a complex activity involving a number of different aspects. Using technology to deliver and support learning adds another layer of complexity. In a rapidly changing environment a template to map the implementation of blended learning is proposed to contribute to the ongoing debate in higher education in implementing blended learning approaches. In a challenging economic environment, some of the key strategic leadership challenges that institutions must address are articulated. Much of the research into deploying e-learning initiatives suggests that it is a complex undertaking and that educational institutions are at various stages in the development and deployment of technology-facilitated initiatives. A number of key leadership challenges are outlined that academic leaders must address in delivering the curriculum using technology. A proposed framework for deploying blended learning coupled with a template for educational managers to embrace in their strategic deployment of technology in delivering the curriculum is presented

    Strategically Integrating Blended Learning to Deliver Lifelong Learning

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    \u3ci\u3eLove for Emily\u3c/i\u3e

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    I have never actually met my cousin Emily, even though I have known her all of my life. We\u27ve talked on the phone often enough, and I keep up a lively correspondence with her

    \u3ci\u3eThe Love Charm\u3c/i\u3e

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