Recubrimiento y partición de un conjunto | 15/22 | UPV

Title: Covering and Partitioning a Set Description: This video introduces the concepts of covering and partitioning a set, presenting various solved problems. Jordan Lluch, C. (2016). Covering and Partitioning a Set. http://hdl.handle.net/10251/64155 Automatic description: This video addresses set theory, specifically the concepts of covering and partitioning sets. It explains that a set is a cover of another set if the union of its subsets contains the target set. Through examples, it illustrates how to verify whether a family of sets is a cover. A partition is then defined as a collection of disjoint subsets whose union is exactly equal to the original set. It is emphasized that every partition is also a cover, but not vice versa. Various examples show how to determine whether a partition meets the conditions for being a cover and vice versa. It is concluded that a family of sets is a partition if the union of the subsets is equal to the target set and the subsets are disjoint from each other. Furthermore, it is possible for a family to be a cover without being a partition, depending on whether it includes all the elements of the target set even if it has subsets with additional elements. Author: Jordan Lluch Cristina Course: This video is 15/22 of the Set Theory course.    • Teoría de conjuntos   Polytechnic University of Valencia (UPV): https://www.upv.es More videos at:    / valenciaupv   Access our MOOCs: https://upvx.es #Sets #Covering and Partitioning #Venn Diagrams #Subsets #Family of Sets #APPLIED MATHEMATICS #1201 - Algebra