A formal analogy between proximity and finite dimensionality
Displaying 261 – 280 of 8504
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 onto × ℝcp(X)cp(X). 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 -KKM type theorem and its applications to minimax inequalities on -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 and inequality relations on . Moreover, we also investigate a relationship between the functions of and .
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.
A gauge theory for the Kadomtsev-Petviashvili system
Kanemaki, S., Królikowski, W., Suzuki, O. (1987)
Proceedings of the 14th Winter School on Abstract Analysis