Work

Examples and cofibrant generation of effective Kan fibrations

Year: 2024

Type: article

Abstract: We will make two contributions to the theory of effective Kan fibrations, which are a more explicit version of the notion of a Kan fibration, a notion which plays a fundamental role in simplicial homotopy theory. We will show that simplicial Malcev algebras are effective Kan complexes and that the effective Kan fibrations can be seen as the right class in an algebraic weak factorization system. In addition, we will introduce two strengthenings of the notion of an effective Kan fibration, the symmetric effective and degenerate-preferring Kan fibrations, and show that the previous results hold for these strengthenings as well.

Source: Journal of Pure and Applied Algebra

DOI: 10.1016/j.jpaa.2024.107812

Authors: Benno van den Berg, Freek Geerligs

Institutions: University of Amsterdam, Chalmers University of Technology, University of Gothenburg

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,330

OpenAlex ID: W4402898147

FWCI:

Cites: 17

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Related to: 10