given a mapping $f:xto x$ we naturally associate to it a monotonic map $gg_f:exp xto exp x$ from the power set of $x$ into itself, thus inducing a generalized topology on $x$. in this paper we investigate some properties of generalized topologies which are defined by such a procedure.

We monitored the behavior of plasma membrane (PM) isolated from tobacco cells (BY-2) under hydrostatic pressures up to 3.5kbar at 30 degrees C, by steady-state fluorescence spectroscopy using the newly introduced environment-sensitive probe F2N12S and also Laurdan and di-4-ANEPPDHQ. The consequences of sterol depletion by methyl-beta-cyclodextrin were also studied. We found that application of ...

Structured documents have gained popularity with the advent of document structure markup standards such as SGML, ODA, HyTime, and HTML. Document management systems can provide powerful facilities by maintaining the structure information of documents. Since the hypermedia document is also a kind of structured document, we can apply the results of many studies, which have been performed in storin...

Transfer functions models of linear systems are a well established tool for the design and analysis of one-dimensional systems. This is not the case for multidimensional physical systems, given in terms of initial boundary value problems. Here, the only mathematical description of widespread use are partial di erential equations. This contribution shows, how the one-dimensional transfer functio...

A careful analysis of di erential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme. With this set of a priori xed integration constants di erential renormalization is most closely related to the theory of generalized functions. The special properties of this scheme are illustrated by applicat...

Price data from comparison sites are easy to obtain from the internet, providing ample opportunities to analyze theories on price dispersion empirically. We propose a generalized analytical model that generates heterogenous mixed pricing strategies. Making seller service ratings public on comparison site leads to price di¤erence because of vertical product di¤erentiation. Furthermore, we show t...

The A∞ T-system, also called the octahedron recurrence, is a dynamical recurrence relation. It can be realized as mutation in a coefficient-free cluster algebra (Kedem 2008, Di Francesco and Kedem 2009). We define T-systems with principal coefficients from cluster algebra aspect, and give combinatorial solutions with respect to any valid initial condition in terms of partition functions of perf...