Given a map of a solenoid homotopic to the identity, we use its difference from the identity to study its rotation and the nature of its fixed point set. With the aid of hyperspace theory, we show that a certain class of solenoids admits no expansive homeormorphism.

The main issue addressed in this paper is how to improve the coordination between navigational learning process and its meta-cognitive process in hyperspace provided by existing Web resources, which includes coordinating two different meta-cognitive processes: navigation planning and reflection. This paper demonstrates the cognitive tool, which enables learners to reify and coordinate their nav...

This approach to clustering stresses the use of multivariate plots that allow the user, for example, to "fly through hyperspace," observing his data. In addition, multivariate histograms, scatter plots, link -node plots, waveform plots, and others can be dynamically controlled from the console to provide a unique visual insight into data structure, which cannot be obtained from conventional off...

We study the infimum of the Hausdorff and Vietoris topologies on the hyperspace of a metric space. We show that this topology coincides with the supremum of the upper Hausdorff and lower Vietoris topologies if and only if the underlying metric space is either totally bounded or is a UC space.

On the evening of the first day of the session the members present dined together at the Avenue House and a very enjoyable hour was spent. The next meeting of the Section will take place during the spring of the current year, of which due notice will be given. THERE is a region of mathematical thought which might be called the fairyland of geometry. The geometer here disports himself in a way w...