A hierarchy of weak variants of Martin’s Axiom is extended and shown to be strict.

a r t i c l e i n f o Environmental protection, including the prevention of air pollution and health hazard materials such as PM2.5 and PM10, is now a very serious policy issue in China after attaining the rapid economic growth and development. The PM stands for " Particular Matter " , indicating the size of both solid particles and liquid droplets found in air. Unfortunately, the economic deve...

We show that models for screening of nuclear reactions in the Sun can be tested by means of helioseismology. As well known, solar models using the weak screening factors are in agreement with data. We find that the solar model calculated with the anti screening factors of Tsytovitch is not consistent with helioseismology, both for the sound speed profile and for the depth of the convective enve...

(Generalized) Riemann Hypothesis (that all non-trivial zeros of the (Dirichlet L-function) zeta function have real part one-half) is arguably the most important unsolved problem in contemporary mathematics due to its deep relation to the fundamental building blocks of the integers, the primes. The proof of the Riemann hypothesis will immediately verify a slew of dependent theorems ([BRW], [SA])...