Lecture

Exponential Law: Mapping Spaces and Compactness

In course

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Description

This lecture covers the proof of the exponential law for mapping spaces, focusing on constructing neighborhoods and open subsets in the target space. The instructor discusses the importance of compactness in the context of CW complexes and locally compact spaces, highlighting the limitations of the current setup for topological theory. The lecture concludes with an overview of compactly generated spaces and the need for a more refined category of spaces for advanced mathematical applications.

Official source

https://mediaspace.epfl.ch/media/0_5whebok8

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Ontological neighbourhood

Mathematics

Topology: General topology

Analysis: Functional analysis

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