A formal analogy between proximity and finite dimensionality
James Williams (1974)
Colloquium Mathematicae
Mioduszewski, J., Rudolf, L. (1967)
General Topology and its Relations to Modern Analysis and Algebra
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....
Witold Marciszewski (1988)
Studia Mathematica
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 onto × ℝcp(X)cp(X). One of these examples is compact. This answers some questions of Arkhangel’skiĭ.
Roman Pol (1979)
Studia Mathematica
Takashi Noiri (1982)
Časopis pro pěstování matematiky
F. Hofbauer (1977)
Mathematische Zeitschrift
Taras Radul (1997)
Commentationes Mathematicae Universitatis Carolinae
A functional representation of the hyperspace monad, based on the semilattice structure of function space, is constructed.
Alexander Abian (1980)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Shen, Lu-ming, Liu, Yue-hua, Zhou, Yu-yuan (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Ljubomir Ćirić, Nikola Jotić (1998)
Matematički Vesnik
Mau-Hsiang Shih, Kok-Keong Tan (1984)
Studia Mathematica
Alexander P. Šostak (1985)
Commentationes Mathematicae Universitatis Carolinae
Abdelkader Stouti (2004)
Archivum Mathematicum
A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.
Chowdhury, Mohammad S.R. (1998)
Journal of Applied Mathematics and Stochastic Analysis
Árpád Száz (2002)
Mathematica Bohemica
Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set and inequality relations on . Moreover, we also investigate a relationship between the functions of and .
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.
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.
Kanemaki, S., Królikowski, W., Suzuki, O. (1987)
Proceedings of the 14th Winter School on Abstract Analysis