Local structure of totally disconnected locally compact groups I

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Page 3 of 3

Covers the construction and universal properties of pushouts in group theory.

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Explores open sets, compactness, and connectivity in topology, covering topological spaces and compact sets.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Explores subsets and subgroups related to group actions on sets.