Compacity in narrow limit tower spaces

Stratified (L; M)-semiuniform convergence tower spaces

The notion of stratified (L, M)-semiuniform convergence tower spaces is introduced, which extends the notions ofprobabilistic semiuniform convergence spaces and lattice-valued semiuniform convergence spaces. The resulting categoryis shown to be a strong topological universe. Besides, the relations between our category and that of stratified (L, M)-filter tower spaces are studied.

Limit spaces with approximations

On a tower of Ihara and its limit

Towers of function fields over a fixed finite field have attracted much attention, specially for the connections with Coding Theory and Cryptography (see [TV], [NX], [Z], [GS2] and [GS3]). Ihara was the first to realize that the so-called Hasse-Weil upper bound was weak if the genus of the function field is large with respect to the cardinality of the finite field (see [Iha]). The first explici...

Limit State Evaluation for Transmission Tower-Line System

The physical infrastructure of the power systems, including the high-voltage transmission towers and lines as well as the poles and wires for power distribution at a lower voltage level, is critical for the resilience of the community to avoid power outages under the extreme weather related loads. In the current engineering practices, single circuit lattice steel towers linked by transmission l...

Narrow Coverings of Ω-ary Product Spaces

Results of Sierpiński and others have shown that certain finite-dimensional product sets can be written as unions of subsets, each of which is “narrow” in a corresponding direction; that is, each line in that direction intersects the subset in a small set. For example, if the set ω × ω is partitioned into two pieces along the diagonal, then one piece meets every horizontal line in a finite set,...