Natural Spaces

Natural topologies on function spaces

ing the above, for a (not necessarily countable) family . . . φ2 // B1 φ1 // Bo of Banach spaces with continuous linear transition maps as indicated, not recessarily requiring the continuous linear maps to be injective (or surjective), a (projective) limit limiBi is a topological vector space with continuous linear maps limiBi → Bj such that, for every compatible family of continuous linear map...

Natural Homomorphisms in Banach Spaces

ViCToR-Spaces: Cooperative Knowledge Spaces for Mathematics and Natural Sciences

Cooperative knowledge spaces have a high potential to improve eLTR (eLearning, eTeaching and eResearch) at universities. Since there are few implementations deployed, notably in the fields of mathematics, natural sciences, and engineering, we propose a concept for fieldspecific knowledge spaces for those disciplines the ”ViCToR”-Spaces (Virtual Cooperation in Teaching and Research for Mathemati...

Uniform color spaces and natural image statistics.

Many aspects of visual coding have been successfully predicted by starting from the statistics of natural scenes and then asking how the stimulus could be efficiently represented. We started from the representation of color characterized by uniform color spaces, and then asked what type of color environment they implied. These spaces are designed to represent equal perceptual differences in col...

Natural non-dcpo domains and f-spaces

As Dag Normann has recently shown, the fully abstract model for PCF of hereditarily-sequential functionals is not ω-complete (in contrast to the old fully abstract continuous dcpo model of Milner). This is also applicable to a potentially wider class of models such as the recently constructed by the author fully abstract (universal) model for PCF = PCF + pif (parallel if). Here we will present ...