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Related lectures (32)

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Topology: Lecture Notes 2021

Covers commutative diagrams, homotopy, and constructing topological spaces.

Seifert van Kampen: strategy

Covers the Seifert van Kampen theorem, homotopy, and the repair of premie rectangles.

Topology: Fundamental Groups and Applications

Provides an overview of fundamental groups in topology and their applications, focusing on the Seifert-van Kampen theorem and its implications for computing fundamental groups.

Topology: Classification of Surfaces and Fundamental Groups

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Cell Attachment: Large Cell

Delves into cell attachment, exploring its implications for different cell dimensions.

Topology: Disk Deprivation

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Cross Product in Cohomology

Explores the cross product in cohomology, covering its properties and applications in homotopy.

Homotopy and Quotient Spaces

Covers homotopy, quotient spaces, and the universal property in topology.

Homotopy Invariance

Explores homotopy invariance, emphasizing the preservation of properties under continuous functions and their relationship with topological spaces.

Universal Covering Construction

Introduces the concept of a universal covering construction with examples like Hawaiian rings.