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Displaying 241 – 260 of 1151

A forcing construction of thin-tall Boolean algebras

Juan Martínez (1999)

Fundamenta Mathematicae

It was proved by Juhász and Weiss that for every ordinal α with $0 < α < ω_{2}$ there is a superatomic Boolean algebra of height α and width ω. We prove that if κ is an infinite cardinal such that $κ^{< κ} = κ$ and α is an ordinal such that $0 < α < κ^{+ +}$ , then there is a cardinal-preserving partial order that forces the existence of a superatomic Boolean algebra of height α and width κ. Furthermore, iterating this forcing through all $α < κ^{+ +}$ , we obtain a notion of forcing that preserves cardinals and such that in the corresponding generic...

A formal analogy between proximity and finite dimensionality

James Williams (1974)

Colloquium Mathematicae

A formal connection between projectiveness for compact and not necessarily compact completely regular spaces

Mioduszewski, J., Rudolf, L. (1967)

General Topology and its Relations to Modern Analysis and Algebra

A formula for calculation of metric dimension of converging sequences

Ladislav, Jr. Mišík, Tibor Žáčik (1999)

Commentationes Mathematicae Universitatis Carolinae

Converging sequences in metric space have Hausdorff dimension zero, but their metric dimension (limit capacity, entropy dimension, box-counting dimension, Hausdorff dimension, Kolmogorov dimension, Minkowski dimension, Bouligand dimension, respectively) can be positive. Dimensions of such sequences are calculated using a different approach for each type. In this paper, a rather simple formula for (lower, upper) metric dimension of any sequence given by a differentiable convex function, is derived....

A function space C(K) not weakly homeomorphic to C(K)×C(K)

Witold Marciszewski (1988)

Studia Mathematica

A function space Cp(X) not linearly homeomorphic to Cp(X) × ℝ

Witold Marciszewski (1997)

Fundamenta Mathematicae

We construct two examples of infinite spaces X such that there is no continuous linear surjection from the space of continuous functions $c_{p} (X)$ onto $c_{p} (X)$ × ℝ $. I n p a r t i c u l a r,$ cp(X) $i s n o t l i n e a r l y h o m e o m o r p h i c t o$ cp(X) $\times ℝ$ . One of these examples is compact. This answers some questions of Arkhangel’skiĭ.

A function space C(X) which is weakly Lindelöf but not weakly compactly generated

Roman Pol (1979)

Studia Mathematica

A function which preserves connected spaces

Takashi Noiri (1982)

Časopis pro pěstování matematiky

A Function with Countably Many Ergodic Equilibrium States.

F. Hofbauer (1977)

Mathematische Zeitschrift

A functional representation of the hyperspace monad

Taras Radul (1997)

Commentationes Mathematicae Universitatis Carolinae

A functional representation of the hyperspace monad, based on the semilattice structure of function space, is constructed.

A Fundamental fixed point Theorem Revisited

Alexander Abian (1980)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

A further discussion on Galambos problem.

Shen, Lu-ming, Liu, Yue-hua, Zhou, Yu-yuan (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

A Further Extension of Maps With Non-unique Fixed Points

Ljubomir Ćirić, Nikola Jotić (1998)

Matematički Vesnik

A further generalization of Ky Fan's maximal inequality and its applications

Mau-Hsiang Shih, Kok-Keong Tan (1984)

Studia Mathematica

A fuzzy modification of the category of linearly ordered spaces

Alexander P. Šostak (1985)

Commentationes Mathematicae Universitatis Carolinae

A fuzzy version of Tarski's fixpoint theorem

Abdelkader Stouti (2004)

Archivum Mathematicum

A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.

A $G$ -KKM type theorem and its applications to minimax inequalities on $G$ -convex spaces.

Chowdhury, Mohammad S.R. (1998)

Journal of Applied Mathematics and Stochastic Analysis

A Galois connection between distance functions and inequality relations

Árpád Száz (2002)

Mathematica Bohemica

Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set $S$ and inequality relations on $X_{S} = S \times ℝ$ . Moreover, we also investigate a relationship between the functions of $S$ and $X_{S}$ .

A game and its relation to netweight and D-spaces

Gary Gruenhage, Paul Szeptycki (2011)

Commentationes Mathematicae Universitatis Carolinae

We introduce a two player topological game and study the relationship of the existence of winning strategies to base properties and covering properties of the underlying space. The existence of a winning strategy for one of the players is conjectured to be equivalent to the space have countable network weight. In addition, connections to the class of D-spaces and the class of hereditarily Lindelöf spaces are shown.

A gauge approach to an ordinal index of Baire one functions

Denny H. Leung, Wee-Kee Tang, Atok Zulijanto (2010)

Fundamenta Mathematicae

We develop a calculus for the oscillation index of Baire one functions using gauges analogous to the modulus of continuity.

Currently displaying 241 – 260 of 1151

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