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Let M be a monoidal category endowed with a distinguished class of weak equivalences and with appropriately compatible classifying bundles for monoids and comonoids. We define and study homotopy-invariant notions of normality for maps of monoids and of con ...
We prove that the norm of the Euler class E for flat vector bundles is 2−n (in even dimension n, since it vanishes in odd dimension). This shows that the Sullivan-Smillie bound considered by Gromov and Ivanov-Turaev is sharp. We construc ...
We demonstrate the formation of complexes involving attractive interactions between D and CO on Ru(0001) that are stable at significantly higher temperatures than have previously been reported for such intermediate species on this surface. These complexes ...
A polyhedral subdivision of a d-dimensional point configuration A is k-regular if it is projected from the boundary complex of a polytope with dimension at most d+k. Call γk(A) the subgraph induced by k-regular triangulations in the flip-graph of A. Gel’fa ...
It is shown that 2-dimensional subdivisions can be made regular by moving their vertices within parallel 1-dimensional spaces. As a consequence, any 2-dimensional subdivision is projected from the boundary complex of a 4-polytope. ...
Abstract: A simplicial complex C on a d-dimensional configuration of n points is k-regular if its faces are projected from the boundary complex of a polytope with dimension at most d+k. Since C is obviously (n-d-1)-regular, the set of all integers k for wh ...
Ru-II(arene) complexes of the general formula [Ru-II(eta(6)-p-cymene)(PPh3)(L)Cl]PF6 with L = P- or N-donor systems have been synthesized and characterized. Carbohydrate-derived phosphites, imidazole or indazole have been chosen as co-ligands and different ...
The arene osmium metalla-prism (p-cymene)(6)Os-6(donq)(3)(tpt)(2) (2) (donq 5,8-dioxydo-1,4-naphthoquinonato, tpt 2,4,6-tri(pyridin-4-yl)-1,3,5-triazine) has been prepared from the dinuclear arene osmium precursor [(p-cymene)(2)Os-2(donq)Cl-2] ...
We report UV photodissociation (UVPD) and IR-UV double-resonance spectra of 1,2-dimethoxybenzene (DMB) complexes with alkali metal ions, M+•DMB (M = Li, Na, K, Rb, and Cs), in a cold 22-pole ion trap. The UVPD spectrum of the Li+ complex shows a strong ori ...
The dinuclear Ru(II) complexes (arene)Ru(μ-Cl)3RuCl(C2H4)(PCy3) (arene = p-cymene or 1,3,5-C6H3iPr3) react with N2O under mild conditions to give OPCy3 and the trinuclear complexes (arene)Ru(μ-Cl)3Ru(μ-Cl)3Ru(arene). The N-heterocyclic carbene complex (p-c ...