Francesco Cellarosi (Queen's University)
Date
Thursday February 9, 20235:30 pm - 6:30 pm
Location
Jeffery Hall, Room 118Event Category
Math Club
Thursday, February 9th, 2023
Time: 5:30 p.m. Place: Jeffery Hall, Room 118
Speaker: Francesco Cellarosi (Queen's University)
Title: A converse to the intermediate value theorem?
Abstract: Continuous functions satisfy the intermediate value property: on an interval $[a,b]$ they attain every value between $f(a)$ and $f(b)$. Is the converse true? That is, does the intermediate value property imply continuity? We will see that the answer is no, and discuss some extreme counterexamples of everywhere discontinuous functions with the intermediate value property.