Concept

Upper set

Related lectures (8)

Covers the Möbius inversion for posets, defining partially ordered sets and explaining the incidence algebra.

Covers partially ordered sets, maximal elements, upper bounds, and the Zorn lemma in functional analysis.

Explores equivalence relations, well-ordered sets, geometric series, and countable sets.

Introduces posets, Hasse diagrams, and equivalence relations on sets.

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Introduces key concepts in numerical analysis and optimization, focusing on distances, subsets, and their properties in R^n.

Covers the concept of prime ideals and local rings, emphasizing their importance.