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Interior Operators, Open Morphisms and the Preservation Property

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Abstract

The notion of open morphism with respect to an interior operator is introduced in an arbitrary category and its properties are discussed. In particular, it is shown that this new notion is linked to an important functorial property, called the preservation property of interior operators. Furthermore, the restriction of this preservation property to some subclasses of morphisms is shown to be linked to some interesting properties of interior operators.

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Authors and Affiliations

  1. Department of Mathematics, University of Puerto Rico, Mayagüez campus, Call Box 9000, Mayagüez, PR, 00681-9000, USA

    Gabriele Castellini

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  1. Gabriele Castellini
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Correspondence to Gabriele Castellini.

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Castellini, G. Interior Operators, Open Morphisms and the Preservation Property. Appl Categor Struct 23, 311–322 (2015). https://doi.org/10.1007/s10485-013-9337-4

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  • DOI: https://doi.org/10.1007/s10485-013-9337-4

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