Topos Theory (Part 2)

Last time I defined sheaves on a topological space X; this time I’ll say how to get these sheaves from ‘bundles’ over X. You may or may not have heard of bundles of various kinds, like vector bundles or fiber bundles. If you have, be glad: the bundles I’m talking about now include these as special cases. If not, don’t worry: the bundles I’m talking about now are much simpler!

A bundle over X is simply a topological space Y equipped with a continuous map to X, say

p \colon Y \to X

You should visualize Y as hovering...

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Published on January 06, 2020 18:00
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