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Homeomorphisms of Euclidean Space

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Algebraic Topology Courses Euclidean Spaces Courses Homeomorphism Courses Diffeomorphisms Courses Geometric Topology Courses

Course Description

Overview

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Explore the fundamental concepts of geometric topology in this 42-minute lecture by Oscar Randal-Williams at the Hausdorff Center for Mathematics. Delve into the topological group of homeomorphisms of d-dimensional Euclidean space, a crucial element in understanding the distinctions between diffeomorphisms and homeomorphisms of d-dimensional manifolds. Discover recent advancements in comprehending the algebraic topology of this group, with insights into the methods employed and emerging conjectural perspectives. Gain valuable knowledge about the intricate relationship between homeomorphisms and manifold structures, excluding the unique case of 4-dimensional space. Engage with cutting-edge research and theoretical developments in this essential area of mathematical study.

Syllabus

Oscar Randal-Williams: Homeomorphisms of Euclidean Space


Taught by

Hausdorff Center for Mathematics

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