A class of compact subsets for non-sober topological spaces

We define a class of subsets of a topological space that coincides with the class of compact saturated subsets when the space is sober, and with enough good properties when the space is not sober. This class is introduced especially in view of applications to capacity theory.Comment: 6 page

The idempotent Radon--Nikodym theorem has a converse statement

Idempotent integration is an analogue of the Lebesgue integration where $\sigma$-additive measures are replaced by $\sigma$-maxitive measures. It has proved useful in many areas of mathematics such as fuzzy set theory, optimization, idempotent analysis, large deviation theory, or extreme value theory. Existence of Radon--Nikodym derivatives, which turns out to be crucial in all of these applications, was proved by Sugeno and Murofushi. Here we show a converse statement to this idempotent version of the Radon--Nikodym theorem, i.e. we characterize the $\sigma$-maxitive measures that have the Radon--Nikodym property.Comment: 13 page

Domain theory and mirror properties in inverse semigroups

Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inverse semigroup and the semilattice of its idempotent elements, such as continuity in the sense of domain theory.Comment: 15 pages. The final publication is available at www.springerlink.com. See http://link.springer.com/article/10.1007%2Fs00233-012-9392-4?LI=tru

A Fragmented China. Measure and Determinants of Chinese Domestic Market Disintegration

This paper studies the degree of integration of China’s domestic market and investigates the determinants of inter-provincial trade barriers in light of endogenous trade policy theory. I rely on a new set of provincial trade ows to develop a model which analyzes the magnitude and evolution of Chinese provinces’ engagement in domestic trade by computing all-inclusive indicators of trade barriers. Results underline that not only the Chinese domestic economy is fragmented but also that local protectionism has spread between 1992 and 1997. The investigation of province-level and industry-level trade barriers confirms the relevance of applying the framework of endogenous protection to explain the level of impediments to trade between Chinese provinces. Our findings emphasize that provinces’domestic trade protection pursues a dual objective of socio-economic stability preservation and fiscal revenues maximization.border effects., domestic integration, Chinese provinces

French firms at the conquest of Asian markets: The role of export spillovers

In this study, we explore the role of export spillovers on the capacity of French firms to conquer Asian markets. We confirm, in the context of France, previous results emphasizing the positive impact of surrounding exporters on the probability that a firm starts exporting a given product to a given country. We find that export spillovers are more important for export starts to Asia than for export starts to other countries. Moreover, for the specific Asian destinations, we find evidence of a heterogeneous effect of export spillovers. The presence of surrounding exporting firms appears especially beneficial to small and less productive firms, ad more intense for export starts to Asian countries characterized by low GDP per capita and tough administrative procedures on imports. Hence, export spillovers may help small firms to enter on the most difficult Asian markets.