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https://www.drmichaelrobinson.net/simplex_techrep.pdf https://www.drmichaelrobinson.net/simplex_techrep.pdf > A sheaf is not just a mathematical representation
by transpute 4y ago
https://www.drmichaelrobinson.net/simplex_techrep.pdf https://www.drmichaelrobinson.net/simplex_techrep.pdf
> A sheaf is not just a mathematical representational structure that provides a common ground among heterogeneous data sources, it is the canonical such structure: any principled specification of the interaction between heterogenous data sources will provably recapitulate some portion of sheaf theory [17]. The theory of sheaves is as foundational to heterogeneous data integration as function spaces are to the study of differential equations or as model theory is to logic. In contrast with previous approaches that leverage graph and network theory, sheaves allow simple, functorial interfaces that support natural multiscale reasoning about their structure.