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Thesaurus Racks: Categorizing Rack Objects

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS(2021)

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Abstract
We define and explore rack objects internal to categories with products. In demonstration, we classify the group-racks, and use homotopy to prove both existence and exclusion theorems for path-connected topological racks.
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Key words
Category theory, rack theory, categorical racks
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