Stepping to Infinity Along Gaussian Primes
By Po-Ru Loh
A problem posed by Basil Gordon, sometimes misattributed to Erdös, asks whether one can walk to infinity along Gaussian primes with steps of bounded size. We consider walks restricted to angular sectors of the complex plane, and we show that for a given step size and starting point (i) there is a lower bound on the angle that must be swept out by a prime walk and (ii) by taking the union of angular sectors, we can create a region on which no prime walk exists that comes arbitrarily close to covering the complex plane.
A Simple Proof of Sharkovsky's Theorem Revisited
By Bau-Sen Du
The LSB Theorem Implies the KKM Lemma
By Gwen Spencer and Francis Edward Su
Pointwise Products of Uniformly Continuous Functions on Sets in the Real Line
By Sam B. Nadler, Jr. and Donna M. Zitney
Problems and Solutions
Analysis I: Convergence, Elementary Functions.
Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions.
By Roger Godement
Reviewed by Gerald B. Folland