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
 

Thread '2-sphere intrinsic definition by gluing disks' boundaries'

A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.
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