Computational topology for data analysis / Tamal Krishna Dey, Department of Computer Science, Purdue University, Yusu Wang, [Halıcıo ̆glu Data Science Institute], University of California, San Diego.

"In this chapter, we introduce some of the very basics that are used throughout the book. First, we give the definition of a topological space and related notions of open and closed sets, covers, subspace topology. To connect topology and geometry, we devote a section on metric spaces. Maps such as...

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