Lecture

Geometric Considerations in Rn

Description

This lecture introduces the concept of intervals in Rn, using balls as a geometric representation. It explains open, closed, semi-open, and semi-closed intervals, emphasizing the importance of norms in defining balls. The lecture also covers the definitions of open and closed sets, interior points, boundaries, closures, bounded domains, and compact sets. It concludes with discussions on unions and intersections of open and closed sets, highlighting the differences between them.

Official source

https://mediaspace.epfl.ch/media/0_tlohxee9

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Ontological neighbourhood

Mathematics

Topology: General topology

Analysis: Functional analysis

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