Tag Archives: subnets

Topology: Sequentially Compact Spaces and Compact Spaces

Posted on February 24, 2013 by

We’ve arrived at possibly the most confusing notion in topology/analysis. First, we wish to fulfil an earlier promise: to prove that if C is a closed and bounded subset of R and f : R → R is continuous, then f(C) is closed and bounded. [ As … Continue reading →

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