A great variety of languages can be designed by different people for different purposes to operate resource spaces. Two fundamental issues are: can we design more operations in addition to existing operations? and, how many operations are sufficient or necessary? This paper solves these problems by investigating the theoretical basis for determining how complete a selection capability is provid...

For every α < ω1 we establish the existence of a separable Banach space whose Szlenk index is ω and which is universal for all separable Banach spaces whose Szlenkindex does not exceed ω. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with upper estimates.

Despite the ethnographic importance of Southeast Asian house and household, an explicitly “household archaeology” is still in its infancy. Nevertheless, archaeologists Asia have undertaken excavations within habitation areas residential spaces, identifying domestic debris, partial remains structures, activity areas. As a result, addressed many topics relevance to those who use household archaeo...

In 1895 when the Lumière brothers unveiled their cinematographic camera, many scientists were elated. Scientists hoped that the machine would fulfill a desire that had driven research for nearly half a century: that of capturing the world in its own image. But their elation was surprisingly short-lived, and many researchers quickly distanced themselves from the new medium. The cinematographic c...

Conceptual spaces were originally introduced by Gärdenfors as a bridge between symbolic and connectionist models of information representation. In our opinion, a cognitive agent, besides being able to work within his (current) conceptual space, must also be able to ‘produce a new space’ by means of ‘global’ operations. These are operations which, acting on a conceptual space taken as a whole, g...

The notion of Common Information Spaces (CIS) is extensively used as a framework to analyse cooperative work. Drawing on recent contributions to the discourse on CIS, this paper develops a perspective on how information is shared in heterogeneous contexts. We study the introduction of an electronic nursing plan in the psychogeriatric ward at the University Hospital of North Norway. The plan was...

We verify the following three basic results on the free loop space LM . (1) We show that the set of all points, where the fundamental form on LM is nondegenerate, is an open subset. (2) The connections of a Fréchet bundle over LM can be extended to S1-central extensions and, in particular, there exist natural connections on the string structures. (3) The notion of Christoffel symbols and the cu...

If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that this result remains true for actions that are not necessarily free nor proper, as long as the identity component acts properly, where on the quotient space we take differential...

We introduce a new knowledge operator called ``knowing whether.'' Knowing whether an event occurred means either knowing that it occurred or knowing that it did not occur. We demonstrate the following difference between ``knowing whether'' and ``knowing that.'' In a multiple agent model, a sequence of events generated by successively applying ``knowing that'' operators, or their negations, may ...