Quotient Spaces and Identifications in Topology
Publication Date
2026
Presentation Length
60 minutes
College
College of Sciences & Mathematics
Department
Math and Computer Science, Department of
Student Level
Undergraduate
Faculty Mentor
Adam Cartisano
Presentation Type
Talk/Oral
Summary
introducing quotient spaces and identifications in topology, fundamental constructions used to create new spaces by identifying points according to equivalence relations. Emphasizing the role of continuous functions, the talk explains how quotient topologies are defined so that projection maps remain continuous and how continuity governs functions between topological spaces. Through geometric and visual examples, the presentation illustrates how complex structures arise from simple identifications and highlights the importance of quotient constructions in modern topology.
Recommended Citation
Garcia, Christopher, "Quotient Spaces and Identifications in Topology" (2026). SPARK Symposium Presentations. 965.
https://repository.belmont.edu/spark_presentations/965
