Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Lifting Properties in Model Categories: An Overview
Graph Chatbot
Related lectures (42)
Homotopy Theory: Cylinders and Path Objects
Covers cylinders, path objects, and homotopy in model categories.
Lifting properties and model categories
Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Homotopy theory of chain complexes
Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.
Limits and colimits: Two examples
Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.
Active Learning: Functors and Geometric Realization
Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.
Construction of the homotopy category
Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Model Category: Definition and Elementary Properties
Covers the definition and properties of a model category, including fibrations, cofibrations, weak equivalences, and more.
Limits and Colimits: Equalizers and Coequalizers
Covers limits and colimits, focusing on equalizers and coequalizers in category theory.
Lifting properties, Chapter 2(a): Definition and elementary properties of model categories
Covers morphisms with lifting properties, pushouts, pullbacks, and the uniqueness in the universal property of pushouts.
Introduction to Model Categories
Explores lifting properties and model categories in topological spaces.
Understanding Lifting Properties in Homotopy Theory
Focuses on lifting properties in homotopy theory of chain complexes.
Elementary Properties of Model Categories
Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Group Actions: Quotients and Homomorphisms
Discusses group actions, quotients, and homomorphisms, emphasizing practical implications for various groups and the construction of complex projective spaces.
Homotopy theory of chain complexes
Explores the homotopy theory of chain complexes, focusing on defining cylinder objects and left homotopy.
Homotopy Category of a Model Category
Introduces the homotopy category of a model category with inverted weak equivalences and unique homotopy equivalences.
Previous
Page 1 of 3
Next
