COUPLED QUANTALES AND A NON-COMMUTATIVE APPROACH TO BITOPOLOGICAL SPACES

Non-Commutative Topology and Quantales

non-corrective approach to pronunciation

the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...

Quantales and Continuity Spaces

The theory of metric spaces provides an elementary introduction to topology and unies many branches of classical analysis. Using it, the intuitive notions of continuity, limit and Cauchy sequence can be developed in a very general setting. Moreover, since metric techniques are frequently much more powerful than topological ones, they make possible simpler and more elegant solutions to many prob...

Polish spaces, computable approximations, and bitopological spaces

Answering a question of J. Lawson (formulated also earlier, in 1984, by Kamimura and Tang [Theoret. Comput. Sci. 34 (1984) 275–288]) we show that every Polish space admits a bounded complete computational model, as defined below. This results from our construction, in each Polish space 〈X,τ 〉, of a countable family C of non-empty closed subsets of X such that: (cp) each subset of C with the fin...

Integral Non - Commutative Spaces