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Topology of metric spaces S. Kumaresan
Publisher: Alpha Science International, Ltd

Let us focus on two essential notions creating the base for the various fields of the mathematical research: the metric and topology. Which are very similar to cluster points. How does the topology of $X$ affect $\cof(\T(X))$? The first chapter is a survey of analysis and topology, which has been a nice opportunity to refresh my math skills, as well as a more thorough exploration of metric spaces than I'd gotten before. However, there is no distance, and there is no middle. Instead, I think of an opinion axis as a topology, one that is topologically equivalent to (0,1). Let $X$ be an arbitrary metric space. My preference is to not think of an opinion axis as a metric space at all. What are the possible structural properties for the ideal $\T(X)$ generated by the complete subspaces of $X$? A complete set contains all limit points of Cauchy sequences.