Let M be a compact manifold, possibly with boundary. We show that the group of homeomorphisms of M has the automatic continuity property : any homomorphism from Homeo(M) to any separable group is necessarily continuous. This answers a question of C. Rosendal. If N ⊂ M is a submanifold, the group of homeomorphisms of M that preserve N also has this property. Various applications of automatic con...

In line with sustainable agriculture that depends on modern methods and new sources of non-traditional irrigation, a field experiment was conducted at privet farm behind Cairo-Alexandria Desert Road, Giza, Egypt during two seasons to evaluate five sugar beet varieties under water salinity stress condition. The present work included 15 treatments; represent varieties: viz. Multi-germs (Amina, Fa...

The microbiological quality of urban wastewater presents important environmental, health and political challenges. lack a water treatment system leads to knowledge about the variability in major cities Côte d'Ivoire.
 Aims: purpose this study is assess level pollution drainage channels different agglomerations.
 Methodology: Indicators environmental (mesophilic aerobic germs) faecal c...

Abstract Does the pattern of social connections between individuals matter for macroeconomic outcomes? If so, where do differences in these patterns come from and how large are their effects? Using network analysis tools, we explore different structures affect technology diffusion thereby a country’s rate growth. The correlation high-diffusion networks income is strongly positive. But when use ...

Using language of dg PROPs we give a new short proof of existence of star products on (formal) germs of Poisson manifolds.