MHB Real Analysis is all about infinity

Tomp
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My lecturer posted a question asking why ""Real Analysis is all about infinity"

Why is this so?
 
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Tompo said:
My lecturer posted a question asking why ""Real Analysis is all about infinity"

Why is this so?

What do you think real analysis is about?

The question is mean to be provocative, to get you to think about the bigger picture of what you are studying.

CB
 
We all know the definition of n-dimensional topological manifold uses open sets and homeomorphisms onto the image as open set in ##\mathbb R^n##. It should be possible to reformulate the definition of n-dimensional topological manifold using closed sets on the manifold's topology and on ##\mathbb R^n## ? I'm positive for this. Perhaps the definition of smooth manifold would be problematic, though.

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