On Ciesielski's problems.
On Classes And Universes
On classification with missing data using rough-neuro-fuzzy systems
The paper presents a new approach to fuzzy classification in the case of missing data. Rough-fuzzy sets are incorporated into logical type neuro-fuzzy structures and a rough-neuro-fuzzy classifier is derived. Theorems which allow determining the structure of the rough-neuro-fuzzy classifier are given. Several experiments illustrating the performance of the roughneuro-fuzzy classifier working in the case of missing features are described.
On classifying subsets of natural numbers by their computable permutations.
On clones determined by their initial segments
On clones of relations
On closed classes of quasilinear functions
On club-like principles on regular cardinals above
On collections of almost disjoint families
On combined nonstandard methods in functional analysis.
On compact classes of models
On compact spaces carrying Radon measures of uncountable Maharam type
If Martin’s Axiom is true and the continuum hypothesis is false, and X is a compact Radon measure space with a non-separable space, then there is a continuous surjection from X onto .
On complemented copies of c₀(ω₁) in C(Kⁿ) spaces
Given a compact Hausdorff space K we consider the Banach space of real continuous functions C(Kⁿ) or equivalently the n-fold injective tensor product or the Banach space of vector valued continuous functions C(K,C(K,C(K...,C(K)...). We address the question of the existence of complemented copies of c₀(ω₁) in under the hypothesis that C(K) contains such a copy. This is related to the results of E. Saab and P. Saab that contains a complemented copy of c₀ if one of the infinite-dimensional Banach...
On complete -algebras
On complete-cocomplete subspaces of an inner product space
In this note we give a measure-theoretic criterion for the completeness of an inner product space. We show that an inner product space is complete if and only if there exists a -additive state on , the orthomodular poset of complete-cocomplete subspaces of . We then consider the problem of whether every state on , the class of splitting subspaces of , can be extended to a Hilbertian state on ; we show that for the dense hyperplane (of a separable Hilbert space) constructed by P. Pták and...
On completely Ramsey sets
On completeness and direction in fuzzy relational systems.
The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partially ordered sets (X,≤), are extended in order to become appliable, with coherence, in fuzzy relational systems (X,R). The properties of these generalized structures are analyzed and operative exemples of them are presented.
On completeness results for Predicate Lukasiewicz, Product, Gödel and Nilpotent Minimum Logics Expanded with Truth-constants.
On complexity of a set of norms in Banach spaces
On computable formal concepts in computable formal contexts.