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Lifting properties and model categories
Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
Quasicategories: An Alternative Homotopy Theory
Introduces quasicategories as an alternative approach to defining homotopy maps and categories.
Examples, Chapter 1(b): Adjunctions
Presents concrete examples of adjunctions between Set and Top categories.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.
Evaluation of Readiness State
Covers evaluating readiness in digital education, emphasizing comprehensive assessment tailored to specific contexts.
Review of Simplicial Sets
Covers limits, colimits, standard simplices, mapping spaces, boundaries, horns, and spines.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
ExVR Workshop: Introduction and Showcase
Introduces ExVR, a software for creating and executing 3D/2D experiments using VR or not, and showcases various tasks.
Introduction to Adjunctions in Category Theory
Introduces adjunctions in category theory, exploring necessary conditions and natural transformations for adjoint functors.