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Showing 1 to 3 of 3 for “"n-categories"”.
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Weakly enriched higher categories
… foundations for a theory of enriched [infinity]categories. We introduce a definition of such objects, based on a non-symmetric version of Lurie's theory of [infinity]-operads. Our first main result is a construction of the correct homotopy theory of enriched [infinity]-categories as a …
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A computational approach to higher categories
Higher categories have become an important tool in mathematics, computer science, and physics. String diagrams provide an intuitive way for working with higher categories and have seen a surge of interest in recent years. However, in practice, they can be hard to draw or manipulate, and there is a …
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Loop Spaces and Iterated Higher Dimensional Enrichment
… has as a partial goal that of understanding the categories and functors that correspond to loop spaces and their associated topological functors. Progress towards this goal has been advanced greatly by the recent work of Balteanu, Fiedorowicz, Schwänzl, and Vogt who show a direct correspondence …