Topology Seminar
Speaker: Dr. Sumanta Das, IIT Bombay
Host: Rekha Santhanam
Title: Proper Homology in the Spirit of Brown’s Proper Homotopy Theory
Time, day and date: 11:45:00 AM – 12:30:00 PM, Monday, October 06
Venue: Ramanujan Hall
Abstract: We construct a proper homology theory for non-compact spaces, inspired by Brown’s proper homotopy theory. This theory satisfies analogues of the Eilenberg–Steenrod axioms in the proper setting and is functorial with respect to proper maps. It captures the behavior of spaces at infinity and aligns naturally with Brown’s proper homotopy groups. This is ongoing joint work with Rekha Santhanam.