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Understanding Open and Closed Sets by yudopplyr is a document available to read on EtoBox.

What is Understanding Open and Closed Sets about?

This document defines open and closed sets in a metric space and proves some of their properties. It shows that: 1) The empty set and the whole space are both open and closed. 2) The intersection of finitely many open (closed) sets is open (closed). 3) The union of any collection of open (closed) sets is open (closed). It also defines limit points and shows a set is closed if and only if it contains all its limit points. Several examples illustrate these concepts.

Author

yudopplyr

Language

EN