This article investigates stability for monster metric spaces introduced in [ShUs837] without the additional assumtion of the language L being countable. We prove that any monster metric space which is categorical in any cardinality bigger than |L| is 0-stable in |L| and unidimensional. In particular, the result holds for uncountable continuous theories.

Recent work has shown that diverse teams can outperform a uniform team made of copies of the best agent. However, there are fundamental questions that were never asked before. When should we use diverse or uniform teams? How does the performance change as the action space or the teams get larger? Hence, we present a new model of diversity, where we prove that the performance of a diverse team i...

Mark Bieraugel is the Business Librarian in the Robert E. Kennedy Library and Stern Neill is a Professor in the Orfalea College of Business at California Polytechnic State University; e-mail: mbieraug@calpoly. edu, [email protected]. ©2017 Mark Bieraugel and Stern Neill, Attribution-NonCommercial (http:// creativecommons.org/licenses/by-nc/3.0/) CC BY-NC. Our research examined the degree to wh...

We give new examples of weak Hilbert spaces.

Ancient Greek literature gives us many relevant traces of the way people represented maritime spaces. Greek narratives endow these spaces with meaning and make them legible. Indeed, these testimonies are a significant contribution to our knowledge of the “odological” space at sea, a space of description including numerous cultural features rather than a space described. This space is based on e...

We have constructed TATIN-PIC, a collaborative work environment consisting of an interactive tabletop and an interactive board, in order to explore phases beyond brainstorming in preliminary design. In this article, we present the TATIN-PIC platform, as well as our evaluation methodology which focuses on crucial face-to-face communication around the interactive tabletop.

Public spaces are interactive by the very fact that they are designed to be looked at, walked around, and used by multitudes of people on a daily basis. Architects design such spaces to create physical scenarios for people to interact with, but this interaction will usually be one sidedthe physical space does not usually change or react. In this paper we present three interaction design project...

We show that there exists a strong uniform embedding from any proper metric space into any Banach space without cotype. Then we prove a result concerning the Lipschitz embedding of locally finite subsets of Lp-spaces. We use this locally finite result to construct a coarse bi-Lipschitz embedding for proper subsets of any Lp-space into any Banach space X containing the l n p ’s. Finally using an...

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...