Fragments of Martin's Maximum in generic extensions

Bounded Martin's Maximum, Weak Erd} Os Cardinals, and Ac

We prove that a form of the Erd} os property (consistent with V = LH! 2 ] and strictly weaker than the Weak Chang's Conjecture at !1), together with Bounded Martin's Maximum implies that Woodin's principle AC holds, and therefore 2 @ 0 = @2. We also prove that AC implies that every function f : !1 ! !1 is bounded by some canonical function on a club and use this to produce a model of the Bounde...

A method for analyzing the problem of determining the maximum common fragments of temporal directed tree, that do not change with time

In this study two actual types of problems are considered and solved: 1) determining the maximum common connected fragment of the T-tree (T-directed tree) which does not change with time; 2) determining all maximum common connected fragments of the T-tree (T-directed tree) which do not change with time. The choice of the primary study of temporal directed trees and trees is justified by the wid...

Martin's axiom and D21 well-ordering of the reals

Assuming an inaccessible cardinal κ, there is a generic extension in which MA+ 20 = κ holds and the reals have a ∆1 well-ordering.

Bounded Martin's Maximum, Weak Erdös Cardinals and psi AC

The Extractability of Inner-Membrane Proteins from Salmonella typhimurium Intact Cells, Spheroplasts and Inner-Membrane Fragments by Non-Denaturing Detergents

The effect of Triton X-100, Na cholate and Tween 80 on the solubilization of integral membrane proteins in intact cells, spheroplasts and inner-membrane fragments of Salmonella typhimurium was studied. The detergents were used in various concentrations (1.6 to 64 mM) and cytochromes b and d were used as marker to monitor the solubilization of membrane-bound proteins. Results showed that no inne...