MATH 6000 - Descriptive Set Theory

3 credits

Topology of Euclidean spaces, different descriptions of open and closed subsets, connectedness, the notion of component, domains, the structure of open sets on the real line, closed connected sets on the real line, perfect sets, Cantor dis-continuum, the structure of perfect sets, S-core of a set, the cardinality of a perfect set, the structure of closed sets on the real line, the cardinality of closed sets, sets of measure zero, Borel sets, sufficient and necessary conditions of Reimann integral existence, development of real numbers sets topological structure. (As needed)

Prerequisite: MATH 2210 and MATH 3120
General Education Course: No