Can anyone explain to me why topology exists? Is it just an exercise in autism...

Can anyone explain to me why topology exists? Is it just an exercise in autism, or is there some benefit to discovering how a non-existant material behaves?

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I mean I googled "what is the point of topology" but it just thought I was asking about adherent points

With topolocgics, you can calgualate all nugular scients with no difficul. All you have to remember is, that when x is 3, answer is equals not really. For example -3^x~d != pi+5.

Allow me to explain:

Three.

this is what a topology phd sounds like

>what is the point of topology
An element in a topological space or, more precisely, in the underlying set of that topological space.

are you implying that mobius strips and klein bottles don't exist?

Can you not read?
>discovering how a non-existant material behaves
>material

The mobius strip might be the behaviour, but if you can parse sentences "non-existant" clearly describes the material.
ie. an infinitely stretchable material which can pass through itself, but cannot be cut or bent sharply.

Only 3D drawings of Klein Bottles exist

low quality b8

Not b8, genuine question.