Non-separating subcontinua of planar continua
We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.
Nonsingular cocycles and piecewise linear time changes.
Non-singular set-valued compact fields in locally convex spaces
Nonstandard analysis and the theory of shape
Non-standard characterisations of ideals in C(X).
Non-subharmonicity of the Hausdorff distance
Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.
Nonsupercompactness and the reduced measure algebra
Non-symmetric generalizations of theorems of Dyson and Livesay
Non-transitive points and porosity
We establish that for a fairly general class of topologically transitive dynamical systems, the set of non-transitive points is very small when the rate of transitivity is very high. The notion of smallness that we consider here is that of σ-porosity, and in particular we show that the set of non-transitive points is σ-porous for any subshift that is a factor of a transitive subshift of finite type, and for the tent map of [0,1]. The result extends to some finite-to-one factor systems. We also show...
Non-trivial homeomorphisms of βNNwithout the continuum hypothesis
Non-Unique Fixed Points In L-Spaces
Non-unique fixed points in L-spaces.
Non-universal families of separable Banach spaces
We prove that if 𝓒 is a family of separable Banach spaces which is analytic with respect to the Effros Borel structure and no X ∈ 𝓒 is isometrically universal for all separable Banach spaces, then there exists a separable Banach space with a monotone Schauder basis which is isometrically universal for 𝓒 but not for all separable Banach spaces. We also establish an analogous result for the class of strictly convex spaces.
Norm and pointwise topologies need not be binormal.
Norm continuity of pointwise quasi-continuous mappings
Let be a Baire space, be a compact Hausdorff space and be a quasi-continuous mapping. For a proximal subset of we will use topological games and on between two players to prove that if the first player has a winning strategy in these games, then is norm continuous on a dense subset of . It follows that if is Valdivia compact, each quasi-continuous mapping from a Baire space to is norm continuous on a dense subset of .
Norm continuity of weakly quasi-continuous mappings
Let be the class of Banach spaces X for which every weakly quasi-continuous mapping f: A → X defined on an α-favorable space A is norm continuous at the points of a dense subset of A. We will show that this class is stable under c₀-sums and -sums of Banach spaces for 1 ≤ p < ∞.
Normal and category measures on topological spaces
Normal Bases and Compactifications.
Normal bases for infinite Galois ring extensions
Normal integrands and related classes of functions
Let , where is a measurable space, and a topological space. We study inclusions between three classes of extended real-valued functions on which are upper semicontinuous in and satisfy some measurability conditions.