Recognizing a QuotientDiscusses the recognition of a quotient in topology and the properties of the quotient topology.
Quotient TopologyCovers the concept of quotient spaces and the quotient topology, defining open sets and characterizing functions.
Norms and ConvergenceCovers norms, convergence, sequences, and topology in Rn with examples and illustrations.
Geometric Considerations in RnCovers the concept of intervals in Rn using geometric balls and defines open and closed sets, interior points, boundaries, closures, bounded domains, and compact sets.
The Jordan Curve TheoremExplores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.