I made a movie recently for my advisor. The movie is so pretty, that I thought I’d share it here: may I present to you randomly drawn dots, where two dots are the same color when they touch! Get the latest Flash Player to see this player. [Javascript required to view Flash movie, please turn it […]

In this fun paper, Kreck, Matthias An inverse to the Poincaré conjecture.Festschrift: Erich Lamprecht. Arch. Math. (Basel) 77 (2001), no. 1, 98—106. it is pointed out that homology is a very basic invariant, and closed manifolds are very basic objects and so a very basic question […]

For a metric space, and , define the length spectrum of S to be . It might be better to call this the “distance spectrum” or “distance set.” Ian, during his Pizza seminar, gave the following definition: a set is a -distance set if has cardinality no greater than . In […]