Non-axiomatizable classes of V-topological fields.
Non-Baire unions in category bases.
Nondeterminism and fully abstract models
Nondeterminism is essential for reversal-bounded two-way multihead finite automata
Nondeterminism versus determinism of finite automata over directed acyclic graphs.
Non-dominating ultrafilters
Non-existence of certain Borel structures
Nonexistence of nonmolecular generic sets.
Non-extensional equality
Non-finitizability of a weak second-order theory
Non-Glimm–Effros equivalence relations at second projective level
A model is presented in which the equivalence relation xCy iff L[x]=L[y] of equiconstructibility of reals does not admit a reasonable form of the Glimm-Effros theorem. The model is a kind of iterated Sacks generic extension of the constructible model, but with an “ill“founded “length” of the iteration. In another model of this type, we get an example of a non-Glimm-Effros equivalence relation on reals. As a more elementary application of the technique of “ill“founded Sacks iterations, we obtain...
Non-isomorphic Hyper-real Fields from Non-isomorphic Ultrapowers.
Nonmeasurable algebraic sums of sets of reals
We present a theorem which generalizes some known theorems on the existence of nonmeasurable (in various senses) sets of the form X+Y. Some additional related questions concerning measure, category and the algebra of Borel sets are also studied.
Non-minimalité de la clôture différentielle I : la preuve de S. Shelah
Non-minimalité de la clôture différentielle II : la preuve de M. Rosenlicht
Non-multidimensional theories without groups
Nonnormality points of βX∖X
Let X be a crowded metric space of weight κ that is either -like or locally compact. Let y ∈ βX∖X and assume GCH. Then a space of nonuniform ultrafilters embeds as a closed subspace of (βX∖X)∖y with y as the unique limit point. If, in addition, y is a regular z-ultrafilter, then the space of nonuniform ultrafilters is not normal, and hence (βX∖X)∖y is not normal.
Nonparametric recursive aggregation process
In this work we introduce a nonparametric recursive aggregation process called Multilayer Aggregation (MLA). The name refers to the fact that at each step the results from the previous one are aggregated and thus, before the final result is derived, the initial values are subjected to several layers of aggregation. Most of the conventional aggregation operators, as for instance weighted mean, combine numerical values according to a vector of weights (parameters). Alternatively, the MLA operators...
Non-perfect rings and a theorem of Eklof and Shelah
We prove a stronger form, , of a consistency result, , due to Eklof and Shelah. concerns extension properties of modules over non-left perfect rings. We also show (in ZFC) that does not hold for left perfect rings.
Nonreflecting stationary subsets of
We explore the possibility of forcing nonreflecting stationary sets of . We also present a generalization of Kanamori’s weakly normal filters, which induces stationary reflection.