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A "working mathematician's" definition of semi-abelian categories

Mathematics – Category Theory
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A *-Autonomous Category of Banach Spaces--Correction

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A 2-Categorical Analysis of the Tripos-to-Topos Construction

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A 2-categories companion

Mathematics – Category Theory
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A bialgebra axiom and the Dold-Kan correspondence

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A cartesian presentation of weak n-categories

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A Categorical Construction of Ultrafilters

Mathematics – Category Theory
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A category of quantum categories

Mathematics – Category Theory
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A characterization of long exact sequences coming from the snake lemma

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A characterization of representable intervals

Mathematics – Category Theory
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A characterization of the category Q-TOP

Mathematics – Category Theory
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A characterization theorem for geometric logic

Mathematics – Category Theory
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A Coboundary Morphism For The Grothendieck Spectral Sequence

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A construction of 2-cofiltered bilimits of topoi

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A construction of 2-filtered bicolimits of categories

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A construction of quotient A_infinity-categories

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A construction of relatively pure submodules

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A construction of semisimple tensor categories

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A convenient category for directed homotopy

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A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces

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