About solutions of a functional equation.
About Spectral Funnels of Dynamical Systems Without Uniqueness on the Plane
About the first and the second constellations belonging to the topology
About the inverse operations on the hyperespace of nonlinear monotone operators.
About the Maximum and the Minimum of Darboux Functions
About -covers and -networks on the Vietoris hyperspace
We study some generalized metric properties on the hyperspace of finite subsets of a space endowed with the Vietoris topology. We prove that has a point-star network consisting of (countable) -covers if and only if so does . Moreover, has a sequence of -covers with property which is a point-star network if and only if so does , where is one of the following properties: point-finite, point-countable, compact-finite, compact-countable, locally finite, locally countable. On the other...
Absolute countable compactness of products and topological groups
In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compactness of product spaces and give an example of a separable, countably compact, topological group which is not absolutely countably compact. The example answers questions of Matveev [8, Question 1] and Vaughan [9, Question (1)].
Absolute end points and their mapping properties.
Absolute end points of irreducible continua
A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth.
Absolute fixed point sets and AR-spaces
Absolute fixed-point sets in compacta
Absolute n-fold hyperspace suspensions
The notion of an absolute n-fold hyperspace suspension is introduced. It is proved that these hyperspaces are unicoherent Peano continua and are dimensionally homogeneous. It is shown that the 2-sphere is the only finite-dimensional absolute 1-fold hyperspace suspension. Furthermore, it is shown that there are only two possible finite-dimensional absolute n-fold hyperspace suspensions for each n ≥ 3 and none when n = 2. Finally, it is shown that infinite-dimensional absolute n-fold hyperspace suspensions...
Absolute points in
Absolute retracts as factors of normed linear spaces
Absolutely closed spaces and categories of algebras
Absolutely continuous measures for certain maps of an interval
Absolutely continuous selections from absolutely continuous set valued map
Absolutely extremal points in minimal flows
Absolutely minimizing Lipschitz extensions on a metric space.
Absolutely strongly star-Hurewicz spaces
A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.