Int'l Conference on Real Analysis and Measure Theory »CARTEMI«
Ischia, Italy, 2004

"Application of Quasitopoi, Galois Connections, 16 years after ..."
Rolf D. Brandt, BEB, Hannover, Germany
eM Institute, "located world wide" (L'Aquila, Hannover, Montpellier, Toledo, ...)

abstract:

For practical purposes it is really one of the most efficient ways to construct limits (and
colimits) via simple liftings of limits (colimits) of atoms for the corresponding universal
structure. Applying these techniques is nothing else than just practising the real kernel of
Topoi, Galois Theory, and other universal constructions.

Lifting of Galois Connections is applying atoms in Galois Theory. We will give examples for industrial applications with regard to
topological editors and topological navigation techniques, optimisers, pattern recognition,
forecasters, chasing correspondences in data universes, data and referential integrity, and time series.

Working with "measures" means in this sense use of "continuous accumulations" instead of values
for individual intervals, working "analytically" corresponds to universal principles, e.g. partial
morphisms, cartesian closedness, limits and so on instead of methods from numerical analysis.

The "spirit of topological structures in the sense of Alexander Grothendieck" helps nowadays
even with constructing models for theoretical physics as well as computer science.

####### 1^{st} quote from topology-news@atlas-conferences.com: Topology News, December 2003 ###########

Eleventh Meeting on Real Analysis and Measure Theory

11-17 July, 2004
Ischia, Italy

Since 1984 the meeting on Real Analysis and Measure Theory has been a
biannual event of European relevance where established scientists and
young researchers discuss their recent work in fundamental mathematical
disciplines such as measure theory, real analysis, lattice theory, taking
into consideration their role in applications to decision theory,
economics, mathematical finance and theoretical physics. The meeting is
also an occasion for discussing new developments, unexpected relations
with other mathematical fields, and new connections with applications.
With a program of scientific talks of reasonable density, we wish to fix
the state of the art in the topics the meeting covers and, simultaneously,
to give young scientists a concrete occasion to start/test their research
in cooperation with world-famous specialists.

The Meeting is successfully organized every two years. The present edition
will be held in Ischia (NA) in the period 11-17 July, 2004. The site of
the meeting will be Hotel Continental Terme.

As usual, there will be 50 minutes invited lectures (we still are defining
the program) and shorter communications (25 minutes, we think).

As for the previous occasions, papers presented at CARTEMI can be
published in the journal Atti del Seminario Matematico e Fisico
dell'Universita' di Modena following the usual "rules" of any publication
(papers must be of original content, are referred....) and they normally
appear on several issues of the journal. Only finally, all the papers will
be collected to form the volume of Proccedings.

Scientific Committee
V. Aversa, C.D. Aliprantis, A. Basile, A. Bella, B. Bongiorno,
D. Candeloro, P. de Lucia, E. De Pascale, G. Di Maio, L. Paganoni,
E. Pap, P. Ptak, A. Volcic, H. Weber, J.D.M. Wright.

Organizing Committee
P. de Lucia, A. Basile, E. D'Aniello, A. De Simone, C. Tarantino.

At the end of January we will send the registration form and the
reservation form for the hotel.

Info to group eM: Institute for elegant Mathematics

http://www.eminstitut.algrotopoi.de/
group eM is a world-wide active net of engineers, mathematicians, and other researchers.
We are open to anybody to help solving problems and/or to find potential experts.

keywords and phrases:

CARTEMI 2004, teoria della misura e analisi reale, Measure Theory, D.H. Fremlin, Topological Measure, Horst Herrlich, eM Institut, gruppe eM, cat top, topologie, topology, category theory, Kategorien Theorie, topos, Galois Connections, topology editor, topology navigator, topological visualisation, euch3, algrotopoi, algrotopoide, topoide, eM, gruppe eM, Leibniz, Leibnizianer, A.G., Alexander Grothendieck, NWDKS, NDKS, NWEKS, NWECS.