Effective Kan Fibrations in Simplicial Sets

Häftad, Engelska, 2022

Av Benno van den Berg, Eric Faber, Benno Van Den Berg, Benno van den Berg

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Further, it is shown that effective Kan fibrations are local, or completely determined by their fibres above representables, and the maps which can be equipped with the structure of an effective Kan fibration are precisely the ordinary Kan fibrations.

Produktinformation

Utgivningsdatum2022-12-10
Mått155 x 235 x 14 mm
Vikt376 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor230
FörlagSpringer International Publishing AG
ISBN9783031188992

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Matematikens grunder inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

- 1. Introduction. - Part I -Π Types from Moore Paths. - 2. Preliminaries. - 3. An Algebraic Weak Factorisation System from a Dominance. - 4. An Algebraic Weak Factorisation System from a Moore Structure. - 5. The Frobenius Construction. - 6. Mould Squares and Effective Fibrations. - 7. Π-Types. - Part II Simplicial Sets. - 8. Effective Trivial Kan Fibrations in Simplicial Sets. - 9. Simplicial Sets as a Symmetric Moore Category. - 10. Hyperdeformation Retracts in Simplicial Sets. - 11. Mould Squares in Simplicial Sets. - 12. Horn Squares. - 13. Conclusion.