1. For each i>0, let 7, denote the closed interval O^x^ 1 and let °I¡ denote the open interval 0<*< 1. Let 7°° =fli>o 7 and °7°° = rii>o °h7°° is the Hilbert cube or parallelotope sometimes denoted by Q. °7°° is homeomorphic to the space sometimes called s, the countable infinite product of lines. The principal theorems of this paper are found in §§5, 7, 8, and 9. In §5 it is shown as a special...

a quantum chemical investigation was carried out to study the properties of intermolecular f•••f, br•••br and br•••o interactions in crystalline 1-bromo-2,3,5,6-tetrafluoro-nitrobenzene (bfnb). this system was selected to mimic the halogen-halogen as well as halogen bonding interactions found within crystal structures as well as within biological systems. we found that fluorine atoms have weak ...

We show that the group G∞ of germs at infinity of orientation-preserving homeomorphisms of R admits no action on the line. This gives an example of a left-orderable group of the same cardinality as Homeo+(R) that does not embed in Homeo+(R). As an application of our techniques, we construct a finitely generated group Γ ⊂ G∞ that does not extend to Homeo+(R) and, separately, extend a theorem of ...

We construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of Abelian differentials. The existence of such a sequence shows that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy-Veec...

An ultra-wide band band-pass filter using novel spiral stub-loaded triple-mode resonator (SSLTMR) is presented. New spiral stub loaded resonator is analyzed with odd and even modes analysis for this class of BPF, achieving higher band wide and size reduction. In order to have a good response characterized, two (SSL-TMRs) and two quarter wavelength digital coupled lines are used. This new design...