We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...

In recent years, topological materials have been studied extensively. A typical example of a topological material is a topological insulator, which is a unique insulator that does not conduct ...

Dan Isaksen, MAA Reviews 'The stated goal of the authors is to provide an accessible entry point to stable homotopy theory for first-year graduate students. The necessary prerequisites are good ...

However, topological protection also implies "topological censorship." In other words, the topology puts a veil over the ...