17,547 research outputs found

    The Unborn Child

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    The Bing-Borsuk and the Busemann Conjectures

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    We present two classical conjectures concerning the characterization of manifolds: the Bing Borsuk Conjecture asserts that every nn-dimensional homogeneous ANR is a topological nn-manifold, whereas the Busemann Conjecture asserts that every nn-dimensional GG-space is a topological nn-manifold. The key object in both cases are so-called {\it generalized manifolds}, i.e. ENR homology manifolds. We look at the history, from the early beginnings to the present day. We also list several open problems and related conjectures.Comment: We have corrected three small typos on pages 8 and

    Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties

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    We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n4n\geq 4 determined by general position properties, the piecewise disjoint arc-disk property is satisfied

    Developing a Roadmap for e-Assessment: Which Way Now?

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    e-Assessment is of strategic importance to the UK since it forms an integral part of the e-learning movement which is a major global growth industry. This paper reports results from a project commissioned by JISC which set out to develop a Roadmap for e-assessment. This methodological approach was drawn from a range of 'roadmap? methodologies collected by Glenn and Gordon (2003). It facilitated the identification of the enabling factors and barriers to the use e-assessment through the construction of a survey which probed a number of experts opinions. The analysis of the various sources suggest that in England and Wales it is policy pressure which is a main driver and it is affecting more of the FE sector than the HE sector. In the HE sector institutions have more control over the rate and uptake of e-assessment as they award their own degrees. However, there is a recognition in HE that with larger classes and less tutorial time, tutors can keep track of their students? progress through e-assessment systems. They can adjust their lectures accordingly after they have picked up the misconceptions of a cohort through e-assessment feedback. At a personal level teachers/enthusiasts are addressing pedagogical problems through e-assessment. The barriers identified at a superinstitutional level, for example the . DfES, funding bodies, and examining bodies, are that of regulation, confidentiality and testing of these systems before they go across the UK. While the main drivers at a superinstitutional level are to move towards a new generation of learners engaged in self-reflection who will be able to identify their own learning needs. One of the major drivers for institutions to adopt e-assessment practices is that of student retention. HE and FE also see benefits with respect to attendance and achievement. This paper outlines the methods used and describes key barriers which will have to be overcome if e-Assesment is to be effectively deployed across UK HE and FE sectors
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