The Jordan Curve TheoremExplores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.
Recognizing a QuotientDiscusses the recognition of a quotient in topology and the properties of the quotient topology.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Boundary AnalysisExplores boundaries in sets, defining them as points not well separated from the set or its complement.
Metric spaces: topologyCovers metric spaces and topology, exploring properties of metrics, open/closed sets, and boundaries.
Quotient TopologyCovers the concept of quotient spaces and the quotient topology, defining open sets and characterizing functions.
