Fundamental group

Related lectures (31)

Delves into group actions, coverings, fundamental groups, and homomorphisms in topological spaces.

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

Covers the construction of a telescope using cylinders on circles and the calculation of fundamental groups for various spaces.

Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.

Introduces left homotopy between morphisms and its preservation under postcomposition in a model category.

Covers the attachment of a 2-cell to a space and explores the concept of the attachment application f.

Explores the lifting criterion for maps between path-connected and locally path-connected spaces.

Covers the fundamental group of a reattachment and surjection proofs with neighborhoods and cover overlays.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

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

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