fundamental group
noun
: a set that is a subset of all paths defined on a set of points each pair of which is joined by a path and that is the quotient group of the group of all paths beginning and ending in a given point
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The fundamental group is effectively a list of loops on the manifold (and all their combinations) that encode information about the manifold’s shape.
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Jordana Cepelewicz, Quanta Magazine, 15 June 2023
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Jordana Cepelewicz, Quanta Magazine, 15 June 2023
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“Fundamental group.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/fundamental%20group. Accessed 25 Dec. 2024.
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