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Slices of Essentially Algebraic Categories

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Abstract

This paper is a contribution to the theory of functor slices of J. Sichler and V. Trnková. For every ordinal α we introduce a basket \(\mathbb{E}_{\alpha}\), prove that every essentially algebraic category of height α is a slice of \(\mathbb{E}_{\alpha}\), characterize small slices of \(\mathbb{E}_{\alpha}\) and give a common generalization of known results about slices of the algebraic basket \(\mathbb{A}\).

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  1. Department of Algebra, Charles University in Prague, Sokolovská 83, Praha 8, 18675, Czech Republic

    Libor Barto

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  1. Libor Barto
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Correspondence to Libor Barto.

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Barto, L. Slices of Essentially Algebraic Categories. Appl Categor Struct 17, 119–152 (2009). https://doi.org/10.1007/s10485-008-9150-7

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  • DOI: https://doi.org/10.1007/s10485-008-9150-7

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