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2017 Concrete Fibrations
Ruggero Pagnan
Notre Dame J. Formal Logic 58(2): 179-204 (2017). DOI: 10.1215/00294527-3817788

Abstract

As far as we know, no notion of concrete fibration is available. We provide one such notion in adherence to the foundational attitude that characterizes the adoption of the fibrational perspective in approaching fundamental subjects in category theory and discuss it in connection with the notion of concrete category and the notions of locally small and small fibrations. We also discuss the appropriateness of our notion of concrete fibration for fibrations of small maps, which is relevant to algebraic set theory.

Citation

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Ruggero Pagnan. "Concrete Fibrations." Notre Dame J. Formal Logic 58 (2) 179 - 204, 2017. https://doi.org/10.1215/00294527-3817788

Information

Received: 30 June 2014; Accepted: 15 August 2014; Published: 2017
First available in Project Euclid: 21 February 2017

zbMATH: 06751297
MathSciNet: MR3634975
Digital Object Identifier: 10.1215/00294527-3817788

Subjects:
Primary: 18A05, 18A15
Secondary: 18B99

Rights: Copyright © 2017 University of Notre Dame

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Vol.58 • No. 2 • 2017
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