959 research outputs found

    Regularity at infinity of real mappings and a Morse-Sard theorem

    Full text link
    We prove a new Morse-Sard type theorem for the asymptotic critical values of semi-algebraic mappings and a new fibration theorem at infinity for C2C^2 mappings. We show the equivalence of three different types of regularity conditions which have been used in the literature in order to control the asymptotic behaviour of mappings. The central role of our picture is played by the tt-regularity and its bridge toward the ρ\rho-regularity which implies topological triviality at infinity

    Singularities of affine equidistants: projections and contacts

    Full text link
    Using standard methods for studying singularities of projections and of contacts, we classify the stable singularities of affine λ\lambda-equidistants of nn-dimensional closed submanifolds of Rq\mathbb R^q, for q2nq\leq 2n, whenever (2n,q)(2n,q) is a pair of nice dimensions.Comment: 18 pages, v2 (minimal changes) agrees with version to appear in Journal of Singularitie

    Spatial information retrieval and geographical ontologies: an overview of the SPIRIT project

    Get PDF
    A large proportion of the resources available on the world-wide web refer to information that may be regarded as geographically located. Thus most activities and enterprises take place in one or more places on the Earth's surface and there is a wealth of survey data, images, maps and reports that relate to specific places or regions. Despite the prevalence of geographical context, existing web search facilities are poorly adapted to help people find information that relates to a particular location. When the name of a place is typed into a typical search engine, web pages that include that name in their text will be retrieved, but it is likely that many resources that are also associated with the place may not be retrieved. Thus resources relating to places that are inside the specified place may not be found, nor may be places that are nearby or that are equivalent but referred to by another name. Specification of geographical context frequently requires the use of spatial relationships concerning distance or containment for example, yet such terminology cannot be understood by existing search engines. Here we provide a brief survey of existing facilities for geographical information retrieval on the web, before describing a set of tools and techniques that are being developed in the project SPIRIT : Spatially-Aware Information Retrieval on the Internet (funded by European Commission Framework V Project IST-2001-35047)

    Liftable vector fields over corank one multigerms

    Full text link
    In this paper, a systematic method is given to construct all liftable vector fields over an analytic multigerm f:(Kn,S)(Kp,0)f: (\mathbb{K}^n, S)\to (\mathbb{K}^p,0) of corank at most one admitting a one-parameter stable unfolding.Comment: 34 pages. In ver. 2, several careless mistakes for calculations in Section 6 were correcte

    Crop ontology in support of conservation and use of banana genetic resources

    Get PDF
    Poster presented at Workshop on Crop Ontology and Phenotyping Data Interoperability. Montpellier (France), 31 Mar-4 Apr 201
    corecore