Mathematics Colloquium

Thursday, February 22

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Tetsuya Ishiu,  Miami University

Host: Joe Mashburn

Title: Finite Products of Nowhere Real Linearly Ordered Sets

Abstract: Let (K_i | i<n) and (L_i | i<n) be a sequence of connected linearly ordered sets such that no non-empty interval is separable. We shall show that every continuous injection f from \prod_{i<n} K_i into \prod_{i<n} L_i is coordinate-wise. Namly, For each i<n, there exists an h(i)<n such that the i-th coordinate of f(x) depends only on the h(i)-th coordinate of x. This gives another characterization of the real line.

Refreshments are available at 3:00 PM in SC 313F.

Note:  Due to spring break, there is no colloquium next week on Thursday March 1; we resume on Thursday March 8.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:

Name:  Paul Eloe