The word "place" is curiously wide in its application, going beyond strict spatiality. A traditional town is a place, the right half of that field is a place, the vacuum cleaner has its place in the closet, the children's place is upstairs, the woman's place was in the home, the third line on the form is the place for this year's income, and as we grow up we try to find our place within the mes...

In the study of topology, we are often interested in understanding and classifying the internal structure of topological spaces. Algebraic topology is the application of abstract algebra to topology in order to further identify the structure of topological spaces by developing a correspondence between topological spaces and certain groups called homotopy groups. In this paper, we will examine t...

We present the newly emerging research field of Computer Supported Collaborative Sports (CSCS). By applying innovative input and output technologies, it enables players to experience sportive activities in a shared computerized environment. Important dimensions in the design space of CSCS applications are discussed. Finally we present the FlyGuy, a prototypical realization of a CSCS device.

In this article, we propose the concept of meta-User Interface (meta-UI) as the set of functions (along with their user interfaces) that are necessary and sufficient to control and evaluate the state of interactive ambient spaces. This set is meta-, since it serves as an umbrella beyond the domain-dependent services that support human activities in an ambient interactive space. They are User In...

We study Ramsey-theoretic properties of several natural classes of finite ultrametric spaces, describe the corresponding Urysohn spaces and compute a dynamical invariant attached to their isometry groups.

We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we show that the homogeneous polynomials with unconditionally convergent expansions coincide with the polynomials that are regular with respect to the Banach lattices structure of...

1 Measure Theory 2 1.1 σ-Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Dynkin Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Probability Measures . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.5 Measurable Maps and Induced Measures . . . . . . . . . . . . . ....

We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal. We also extend the known obstructions to geometric formality to some new classes of homogeneous spaces and of biquotients, and to certain sphere bundles.

Recent work in the field of middleware technology proposes semantic spaces as a tool for coping with the scalability, heterogeneity and dynamism issues of large scale distributed environments. Reflective middleware moreover offers answers to the needs for adaptivity and self-determination of systems. Based on experiences with traditional middleware we argue that ontology-driven management is a ...

The realization of software projects can be significantly eased by extending the focus of reuse to architectural aspects instead of concentrating on separate software elements. Yet in any case, operational techniques are required to support the retrieval and selection of reusable items. To this end, we extend on the concept of design spaces which allows to describe the relevant properties of so...