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Browse Dissertations and Theses - Mathematics by Contributor "Fernandes, Rui"

  • Jung, Derek (2018-11-08)
    For $k,n\ge 1$, the jet space $J^k(\R^n)$ is the set of $k^{th}$-order Taylor polynomials of functions in $C^k(\R^n)$. Warhurst constructs a Carnot group structure on $J^k(\R^n)$ such that the jets of functions in ...

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  • Villatoro, Joel David (2018-07-06)
    This thesis is divided into four chapters. The first chapter discusses the relationship between stacks on a site and groupoids internal to the site. It includes a rigorous proof of the folklore result that there is an ...

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