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No vacancy logo #10101) Bad sign for a traveler 2) Hotel turndown
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No Vacancy logo #21000 The goal of algebraic topology is to categorize or classify topological spaces. Homotopy groups were invented in the late 19th century as a tool for such classification, in effect using the set of mappings from an n-sphere in to a space as a way to probe the structure of that space. An obvious question was how this new tool would work on n-spheres...
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