equivalently [Gar,VIII.2], the corona M(X) \ ι(X) is empty. (Here M(X) is the maximal ideal space of the algebra H∞(X) of bounded holomorphic functions on X and ι is the natural inclusion X ↪→ M(X).) If X does not satisfy the corona theorem then X may be said to have corona. Riemann surfaces known to satisfy the corona theorem include the unit disk [Car], bordered Riemann surfaces [All] [Sto], ...

A general form of the Borel-Cantelli Lemma and its connection with the proof of Khintchine's Theorem on Diophantine approximation and the more general Khintchine-Groshev theorem are discussed. The torus geometry in the planar case allows a relatively direct proof of the planar Groshev theorem for the set of ψ-approximable points in the plane. The construction and use of Haudsorff measure and di...

The notion of a Persistent Phylogeny generalizes the well-known Perfect phylogeny model that has been thoroughly investigated and is used to explain a wide range of evolutionary phenomena. More precisely, while the Perfect Phylogeny model allows each character to be acquired once in the entire evolutionary history while character losses are not allowed, the Persistent Phylogeny model allows eac...

James Mark Baldwin is remembered today almost exclusively for his paper ‘A New Factor in Evolution’ (Baldwin, 1896a). The new factor, which he called ‘organic selection’ and which later became known as the Baldwin effect, was a process that could cause ‘accomodations’ the acquired adaptive responses of individual organisms to become hereditary. ‘Accomodations’ include physiological adaptations ...

Escherichia coli B strains that have acquired the malB region from E. coli K-12 are able to utilize maltose and to adsorb phage lambda when grown at 30 C, but when grown at 40 C they do not absorb phage lambda and are devoid of amylomaltase activity. These Mal(ts) Lam(ts) cells can be mutated or transduced to become able to grow on maltose at 40 C, but they still have no detectable amylomaltase...