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Tag Archives: axiom of choice
Commutative Algebra 12
Some Results on Posets In this article we have two goals in mind: to introduce the idea of noetherian posets, and to state Zorn’s lemma and give some examples. The latter is of utmost importance in diverse areas of mathematics. … Continue reading
Posted in Advanced Algebra
Tagged axiom of choice, noetherian, posets, totally ordered sets, zorn's lemma
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Topology: More on Compact Spaces
In the previous article, we defined compact spaces as those where every open cover has a finite subcover, i.e. if then we can find a finite set of indices such that On an intuitive level, one should imagine a compact … Continue reading