Continuity in the Product Topology | Topology

Why do we prefer the product topology to the box topology? Let's see when functions in the product topology are continuous.

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Timestamps in this video:
00:00 Introduction.
02:22 Theorem: Continuity.
03:19 Proof of the Theorem.
05:43 What about the Box Topology?
09:48 Conclusion.

#maths #topology #analysis