EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 141 – 160 of 1154

A continuous operator extending fuzzy ultrametrics

I. Stasyuk, Edward D. Tymchatyn (2011)

Commentationes Mathematicae Universitatis Carolinae

We consider the problem of simultaneous extension of fuzzy ultrametrics defined on closed subsets of a complete fuzzy ultrametric space. We construct an extension operator that preserves the operation of pointwise minimum of fuzzy ultrametrics with common domain and an operation which is an analogue of multiplication by a constant defined for fuzzy ultrametrics. We prove that the restriction of the extension operator onto the set of continuous, partial fuzzy ultrametrics is continuous with respect...

A continuous operator extending ultrametrics

I. Stasyuk, Edward D. Tymchatyn (2009)

Commentationes Mathematicae Universitatis Carolinae

The problem of continuous simultaneous extension of all continuous partial ultrametrics defined on closed subsets of a compact zero-dimensional metric space was recently solved by E.D. Tymchatyn and M. Zarichnyi and improvements to their result were made by I. Stasyuk. In the current paper we extend these results to complete, bounded, zero-dimensional metric spaces and to both continuous and uniformly continuous partial ultrametrics.

A continuous surjection from the unit interval onto the unit square.

Jari Taskinen (1993)

Revista Matemática de la Universidad Complutense de Madrid

A continuous version of Liapunov's convexity theorem

Arrigo Cellina, Giovanni Colombo, Alessandro Fonda (1988)

Annales de l'I.H.P. Analyse non linéaire

A continuum without the fixed point property which is quasihomeomorphic with an AR-set

T. Maćkowiak (1987)

Colloquium Mathematicae

A continuum $X$ such that $C (X)$ is not continuously homogeneous

Alejandro Illanes (2016)

Commentationes Mathematicae Universitatis Carolinae

A metric continuum $X$ is said to be continuously homogeneous provided that for every two points $p, q \in X$ there exists a continuous surjective function $f : X \to X$ such that $f (p) = q$ . Answering a question by W.J. Charatonik and Z. Garncarek, in this paper we show a continuum $X$ such that the hyperspace of subcontinua of $X$ , $C (X)$ , is not continuously homogeneous.

A contraction theorem in fuzzy metric spaces.

Razani, Abdolrahman (2005)

Fixed Point Theory and Applications [electronic only]

A contraction theorem in Menger probabilistic metric spaces.

Shakeri, S. (2008)

The Journal of Nonlinear Sciences and its Applications

A contribution to the descriptive theory of sets and spaces

Frolík, Z. (1962)

General Topology and its Relations to Modern Analysis and Algebra

A contribution to the theory of modular spaces

Musielak, J. (1972)

General Topology and its Relations to Modern Analysis and Algebra

A contribution to the topological classification of the spaces Ср(X)

Robert Cauty, Tadeusz Dobrowolski, Witold Marciszewski (1993)

Fundamenta Mathematicae

We prove that for each countably infinite, regular space X such that $C_{p} (X)$ is a $Z_{σ}$ -space, the topology of $C_{p} (X)$ is determined by the class $F_{0} (C_{p} (X))$ of spaces embeddable onto closed subsets of $C_{p} (X)$ . We show that $C_{p} (X)$ , whenever Borel, is of an exact multiplicative class; it is homeomorphic to the absorbing set $Ω_{α}$ for the multiplicative Borel class $M_{α}$ if $F_{0} (C_{p} (X)) = M_{α}$ . For each ordinal α ≥ 2, we provide an example $X_{α}$ such that $C_{p} (X_{α})$ is homeomorphic to $Ω_{α}$ .

A contribution to topology in AST: Almost indiscernibilities

Karel Čuda (1988)

Commentationes Mathematicae Universitatis Carolinae

A contribution to topology in AST: Compactness

Karel Čuda (1987)

Commentationes Mathematicae Universitatis Carolinae

A convergence criterion for monotone global dynamical systems.

Bota, Constantin (2005)

Balkan Journal of Geometry and its Applications (BJGA)

A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube

Miloš S. Kurilić, Aleksandar Pavlović (2014)

Czechoslovak Mathematical Journal

We compare the forcing-related properties of a complete Boolean algebra $𝔹$ with the properties of the convergences $λ_{s}$ (the algebraic convergence) and $λ_{ls}$ on $𝔹$ generalizing the convergence on the Cantor and Aleksandrov cube, respectively. In particular, we show that $λ_{ls}$ is a topological convergence iff forcing by $𝔹$ does not produce new reals and that $λ_{ls}$ is weakly topological if $𝔹$ satisfies condition $(ℏ)$ (implied by the $𝔱$ -cc). On the other hand, if $λ_{ls}$ is a weakly topological convergence, then $𝔹$ is a $2^{𝔥}$ -cc algebra...

A converse of the Arsenin–Kunugui theorem on Borel sets with σ-compact sections

P. Holický, Miroslav Zelený (2000)

Fundamenta Mathematicae

Let f be a Borel measurable mapping of a Luzin (i.e. absolute Borel metric) space L onto a metric space M such that f(F) is a Borel subset of M if F is closed in L. We show that then $f^{- 1} (y)$ is a $K_{σ}$ set for all except countably many y ∈ M, that M is also Luzin, and that the Borel classes of the sets f(F), F closed in L, are bounded by a fixed countable ordinal. This gives a converse of the classical theorem of Arsenin and Kunugui. As a particular case we get Taĭmanov’s theorem saying that the image of...

A Converse To A Generalized Banach Contraction Principle

A. C. Babu (1982)

Publications de l'Institut Mathématique

A converse to a theorem of K. Kuratowski on parametrizations of compacta on the Cantor set

Roman Pol (1991)

Fundamenta Mathematicae

A correction to my paper:"Some topological extensions of plane geometry"

Harold Bell (1976)

Revista colombiana de matematicas

A Corson compact L-space from a Suslin tree

Peter Nyikos (2015)

Colloquium Mathematicae

The completion of a Suslin tree is shown to be a consistent example of a Corson compact L-space when endowed with the coarse wedge topology. The example has the further properties of being zero-dimensional and monotonically normal.

Currently displaying 141 – 160 of 1154

Previous Page 8 Next