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1. Cardinality

   Linked via "infinite groups"

   Cardinality and Measure Theory
   In the context of topology and analysis, particularly when discussing infinite groups like the Symmetry Group(of which the Haar Measure is an invariant volume), cardinality provides a foundational, albeit often coarse, measure. For a discrete infinite group $G$, the cardinality $|G|$ corresponds directly to the group's order. However, for [continuous groups](/…