63 research outputs found

    On Structure and Organization: An Organizing Principle

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    We discuss the nature of structure and organization, and the process of making new Things. Hyperstructures are introduced as binding and organizing principles, and we show how they can transfer from one situation to another. A guiding example is the hyperstructure of higher order Brunnian rings and similarly structured many-body systems.Comment: Minor revision of section

    Singularities and Quinn spectra

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    We introduce singularities to Quinn spectra. It enables us to talk about ads with prescribed singularities and to explicitly construct representatives for prominent spectra like Morava KK-theories or for LL-theory with singularities. We develop a spectral sequence for the computation of the associated bordism groups and investigate product structures in the presence of singularities.Comment: final published versio

    Higher Algebraic Structures and General Field Theories

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    In this paper we show how the hyperstructure concept leads to new algebraic structures and general field theories.Comment: Minor corrections and some additions. This is a paper where we sketch some new ideas regarding higher structures - details to be worked out in forthcoming paper
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