Lecture
Introduction to Left Homotopy: The Homotopy Relation in a Model Category
In course
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Description
This lecture introduces the concept of left homotopy between morphisms, based on constructing a cylinder on a topological space. It shows that left homotopy is preserved under postcomposition by any morphism. The lecture explains the notion of a good cylinder and a very good cylinder, illustrating these concepts with examples. It also covers the existence of very good cylinders, weak equivalences, and the properties of left homotopy in a model category.
Instructor
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Official source
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Ontological neighbourhood
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