n-movable compacta and ANR-systems
No arc-connected treelike continuum is the 2-to-1 image of a continuum
In 1940, O. G. Harrold showed that no arc can be the exactly 2-to-1 continuous image of a metric continuum, and in 1947 W. H. Gottschalk showed that no dendrite is a 2-to-1 image. In 2003 we show that no arc-connected treelike continuum is the 2-to-1 image of a continuum.
No upper bound for cardinalities of Tychonoff C.C.C. spaces with a -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)
Non existence de relèvement pour certaines mesures finiement additives et retractés de ...N.
Non-alternating mappings
Noncommuting -contraction mappings.
Non-compact random generalized games and random quasi-variational inequalities.
Non-constant continuous mappings of metric or compact Hausdorff spaces
Nonempty intersection theorems minimax theorems with applications in generalized interval spaces.
Non-Hausdorff Ascoli theory [Book]
Nonlinear contractive conditions: A comparison and related problems
We establish five theorems giving lists of nonlinear contractive conditions which turn out to be mutually equivalent. We derive them from some general lemmas concerning subsets of the plane which may be applied both in the single- or set-valued case as well as for a family of mappings. A separation theorem for concave functions is proved as an auxiliary result. Also, we discuss briefly the following problems for several classes of contractions: stability of procedure of successive approximations,...
Non-meager P-filters are countable dense homogeneous
We prove that if ℱ is a non-meager P-filter, then both ℱ and are countable dense homogeneous spaces.
Non-planar embeddings of planar sets in
Non-separable analytic spaces and measurability
Non-singular set-valued compact fields in locally 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 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.