Metric topological groups: their metric approximation and metric ultraproducts

metric frames

dar in paian name dar ebteda mafahim topologicy baian mishavad va sepas mafahim rastehie va frames ha ra baian mikonim

Metric and Topological Spaces

Small print The syllabus for the course is defined by the Faculty Board Schedules (which are minimal for lecturing and maximal for examining). What is presented here contains some results which it would not, in my opinion, be fair to set as book-work although they could well appear as problems. In addition, I have included a small amount of material which appears in other 1B courses. I should v...

Metric and Topological Spaces

Metric, Topological, and Graph Entropies

Our paper analyzes here some new lines to introduce the evolving concept of an important Uncertainty Measure, the so-called Entropy. We need to obtain these new ways to model adequate conditions, departing from vague pieces of information. For this, it will be very necessary to analyze certain type of such measures, with very interesting applications, as Graph Entropy, Metric Entropy and Topolo...

Approximation systems for functions in topological and in metric spaces

A notable feature of the TTE approach to computability is the representation of the argument values and the corresponding function values by means of infinitistic names. Although convenient for the development of the theory, using such objects as data deviates from the computational practice and has a drawback from a logico-philosophical point of view. Two ways to eliminate the using of such na...