Abstract: 

Robert Lee Moore was a famous American mathematician active in the first half of the 20th century. His main research interest is point set topology. At the same time, he has also made important contributions to the fields of geometry, analysis and so on. Moore taught at the University of Texas at Austin for 49 years. Through his unique axiomatic teaching method, the “Moore Method”, he trained a large number of excellent mathematical talents. He and his followers were later called the “Moore School”, that is, the Topology School of Texas, making Moore an important connecting person in the development history of point set topology.

Key Words: 

Robert Lee Moore; Point set topology; The Moore Method; The Topology School of Texas