Why every vector space (not necessarily finite dimensional) has a basis, feat. Zorn's Lemma and the actual definition of a basis
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Zorn’s Lemma and Basis
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zornzorns lemmazorn's lemmaaxiom of choicezorn'sbasisevery vector space has a basisbasis of any vector spacemaximalmaximally linearly independentmaximal linearlymaximal linearfriedbergsection 1.7axiomextensionextend basismaximal elementmaximum elementset theoryuncountable basisdimensionlinear algebramathmathematicsdr peyampeyamcalculustutorialadvanced maththeorymath theory
