Why do we need finite intersection of open sets for topology?

In this video, we are going to discuss the definition of topology. In particular, why do we need finite intersection of open sets for topology?
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00:00 - Intro
01:25 - Statement
02:45 - Example
Maksym Zubkov
zubkovmaksym@gmail.com

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Please watch: "Real Projective Space, n=1"
https://www.youtube.com/watch?v=2ottRuDA5WA
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Видео Why do we need finite intersection of open sets for topology? канала Math For Life