N-anti-exchange closure operators
Natural covers
Nearly continuous multifunctions.
Network character and tightness of the compact-open topology
For Tychonoff and an infinite cardinal, let the minimum number of cozero-sets of the Čech-Stone compactification which intersect to (generalizing -defect), and let . Give the compact-open topology. It is shown that , where: is tightness; is the network character; is the Lindel"of number. For example, it follows that, for Čech-complete, . The (apparently new) cardinal functions and are compared with several others.
New approach for closure spaces by relations.
New Characterizations and Properties of Almost-open and Almost-closed Functions
New existence of equilibria via connectedness.
New metrics for weak convergence of distribution functions.
Sibley and Sempi have constructed metrics on the space of probability distribution functions with the property that weak convergence of a sequence is equivalent to metric convergence. Sibley's work is a modification of Levy's metric, but Sempi's construction is of a different sort. Here we construct a family of metrics having the same convergence properties as Sibley's and Sempi's but which does not appear to be related to theirs in any simple way. Some instances are brought out in which the metrics...
New proofs of classical insertion theorems
We provide new proofs for the classical insertion theorems of Dowker and Michael. The proofs are geometric in nature and highlight the connection with the preservation of normality in products. Both proofs follow directly from the Katětov-Tong insertion theorem and we also discuss a proof of this.
New regions of stability in input optimization
using point-to-set mappings we identify two new regions of stability in input optimization. Then we extend various results from the literature on optimality conditions, continuity of Lagrange multipliers, and the marginal value formula over the new and some old regions of stability.
Nilpotent and recursive flows.
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.