Almost-Homeomorphisms And Almost-Topological Properties.
Almost-n-fully normal spaces
Almost-Topological Representation Theorems for Dynamical Systems.
Alternative definitions of -density topology
Always of the first category sets
Always of the first category sets (II)
Ambiguous Loci of the Metric Projection Onto Compact Starshaped Sets in a Banach Space.
Amenability and unique ergodicity of automorphism groups of Fraïssé structures
In this paper we consider those Fraïssé classes which admit companion classes in the sense of [KPT]. We find a necessary and sufficient condition for the automorphism group of the Fraïssé limit to be amenable and apply it to prove the non-amenability of the automorphism groups of the directed graph S(3) and the boron tree structure T. Also, we provide a negative answer to the Unique Ergodicity-Generic Point problem of Angel-Kechris-Lyons [AKL]. By considering , where is the countably infinite-dimensional...
Amoeba relation and Galois-Tukey connections
Amorphe Potenzen kompakter Räume.
An abstract version of Sierpiński's theorem and the algebra generated by A and CA functions
We give an abstract version of Sierpiński's theorem which says that the closure in the uniform convergence topology of the algebra spanned by the sums of lower and upper semicontinuous functions is the class of all Baire 1 functions. Later we show that a natural generalization of Sierpiński's result for the uniform closure of the space of all sums of A and CA functions is not true. Namely we show that the uniform closure of the space of all sums of A and CA functions is a proper subclass of the...
An acyclic continuum that admits no mean
An algebraic and logical approach to continuous images
An alternative concept of the n-dimensional measure
An Alternative Theorem for Continuous Relations and its Applications
An analogon of the fixed-point theorem and its application for graphs
An analogue of a result of Carathéodory
An analytic equivalence relation not arising from a Polish group action
An answer to a question of Arhangel'skii
We prove that there exists an example of a metrizable non-discrete space , such that but where and is the space of all continuous functions from into reals equipped with the topology of pointwise convergence. It answers a question of Arhangel’skii ([2, Problem 4]).
An answer to a question of Cao, Reilly and Xiong
We present a simple proof of a Banach-Stone type Theorem. The method used in the proof also provides an answer to a conjecture of Cao, Reilly and Xiong.