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## Main Question or Discussion Point

I'm beginning to study analysis beyond real numbers, but I am a but confused. What is the relation between topology, metric spaces, and analysis? From what it seems, it's that metric space theory forms a subset of topology, and that analysis uses the metric space notion of distance to describe limiting processes. Is this at all correct? What exactly distinguishes topology and analysis? Are there limits in topology? It seems that there are things called accumulation points in topology, and these seem similar to limits in analysis, but all seems jumbled together and a bit confusing. Here's another question: Why do we tend to learn analysis and then topology, rather than topology and then analysis? It seems that topology is a prerequisite to analysis.

Basically, what is the clear delineation between topology and analysis, and what is the relation between the two?

Basically, what is the clear delineation between topology and analysis, and what is the relation between the two?