Concept
Freudenthal suspension theorem
Related lectures (15)
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Covers the Zig Zag Lemma and the long exact sequence of relative homology.
Serre model structure: Left and right homotopy
Explores the Serre model structure, focusing on left and right homotopy equivalences.
Excision: An Example
Covers the concept of excision in algebraic topology with a focus on simplicial and singular homology.
Steenrod Squares
Covers the concept of Steenrod Squares and their applications in stable cohomology operations.
Excision Theory: Sketch of Proof
Outlines the proof of the excision theory using the barycentric subdivision.
Long Exact Sequence in Homotopy
Explores the long exact sequence in homotopy, emphasizing the importance of sets and groups in the sequence.
Left Homotopy as an Equivalence Relation: The Homotopy Relation in a Model Category
Explores the left homotopy relation as an equivalence relation in model categories.
Introduction to Left Homotopy: The Homotopy Relation in a Model Category
Introduces left homotopy between morphisms and its preservation under postcomposition in a model category.
Basic properties of left homotopy: The homotopy relation in a model category
Explores the basic properties of left homotopy in model categories, focusing on weak equivalences and morphism relationships.
The Topological Künneth Theorem
Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.