Covering space

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Related lectures (31)

Page 2 of 4

Lifting Criterion

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

Bounding the Poisson bracket invariant on surfaces

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Path Lifting: Unique Path Lifting

Covers the concept of path lifting and unique path lifting property.

Path Lifting

Explores path lifting, homotopy properties, and homomorphisms in covering spaces.

Noetherian Schemes: Local Properties

Explains the concept of Noetherian schemes and their local properties using open sets and coverings.

The Degree of a Covering Space

Shows the equivalence between the index of a covering space's fundamental group and the degree of the covering space.

Quotient by Galois Action

Explores quotient by Galois action, focusing on coatings, actions, and shares in various spaces.

Electromagnetic Problems: Well-Posedness and Convergence

Explores the well-posedness and convergence of electromagnetic problems, including continuity interpolation, Darcy's law, and surjectivity properties.

Discrete Optimization: Set Covering

Explores the set covering problem through the example of completing a sticker collection at a minimum cost.

Adjunctions and Push Outs

Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.