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A note on the slicing of fibrations

Ruggero Pagnan

Abstract

We describe the construction of the slice fibration of a given one.

A note on the slicing of fibrations

Abstract

We describe the construction of the slice fibration of a given one.
Paper Structure (11 sections, 7 theorems, 9 equations)

This paper contains 11 sections, 7 theorems, 9 equations.

Table of Contents

  1. Introduction
  2. Categorical preliminaries
  3. Slice categories and functors between them
  4. Pointed categories
  5. Fundamentals of fibered category theory
  6. Fibered functors and fibered adjuctions
  7. Slice fibrations
  8. Pointed fibrations
  9. Slice fibrations
  10. Fibered functors between slice fibrations
  11. Slicing fibrations as a universal construction

Key Result

Proposition 1

For $\mathbbm{C}$ a category, the following facts hold:

Theorems & Definitions (32)

  • Proposition 1
  • proof
  • Remark 1
  • Remark 2
  • Proposition 2
  • proof
  • Example 1
  • Example 2
  • Example 3
  • Example 4
  • ...and 22 more