We define sink marks for branched complexes and find conditions for them to determine a branched surface structure. These will be used to construct branched surfaces in knot and tangle complements. We will extend Delman’s theorem and prove that a non 2-bridge Montesinos knot K has a persistently laminar branched surface unless it is equivalent to K(1/2q1, 1/q2, 1/q3, −1) for some positive integ...

The activities of six enzymes which take part in the oxidation of valine by Pseudomonas putida were measured under various conditions of growth. The formation of four of the six enzymes was induced by growth on d- or l-valine: d-amino acid dehydrogenase, branched-chain keto acid dehydrogenase, 3-hydroxyisobutyrate dehydrogenase, and methylmalonate semialdehyde dehydrogenase. Branched-chain amin...

We compared the cellular fatty acid profiles of Myxococcus xanthus cells grown in either a Casitone-based complex medium or a chemically defined medium. The cells grown in the complex medium had a much higher content of the abundant branched-chain fatty acid iso-15:0 and several other branched-chain species. The higher branched-chain fatty acid content of the cells grown in the complex medium w...

We prove that any closed connected oriented topological 4-manifold is a 4-fold topological simple branched cover of S4. As relevant intermediate steps, we extend the known branched covering representation for closed PL 4-manifolds to compact bounded and open PL 4-manifolds. Specifically, we show that any compact connected oriented PL 4-manifold with boundary is a simple branched cover of S4 min...

In [BI01] we have proven that the generating function for self-avoiding branched polymers in D + 2 continuum dimensions is proportional to the pressure of the hardcore continuum gas at negative activity in D dimensions. This result explains why the critical behavior of branched polymers should be the same as that of the iφ3 (or Yang-Lee edge) field theory in two fewer dimensions (as proposed by...