Wednesday 2/28: Zackery Reed, Portland State University

Job talk: 12:40 – 1:30, C-304WH

Title: Generalizing Sequential Convergence from the Real Line to Real Space

Abstract: 

Sequential convergence is a powerful tool in the field of real analysis. Though its structure persists throughout various metric spaces, students initially understand sequential convergence as it manifests on the real line. Further, formal characterizations of sequential convergence in more abstract settings are typically not studied until more advanced real analysis courses. As part of a teaching experiment involving the reinvention of the general metric function, two students generalized sequential convergence from the real line to n-dimensional space. This talk will explore theoretical nuances of the students' generalizing activity, including the use of reflective abstraction to underpin generalization in formal mathematics.