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1
100%
Fasciculi Mathematici
2009 Nr 42 5-15
EN In this paper, we prove two fixed point theorems for mappings satisfying contractive condition of integral type on d-complete Hausdorff topological spaces.
2
88%
Fasciculi Mathematici
2010 Nr 45 47-57
EN In 1979, Kasahara [8], introduced the concept of operations on topological spaces. Further investigations of this concept are given in [7,15]. Operations on bitopological spaces were discussed in some manner in [ 1,10]. In this paper we use a different technique of that in [1,10] to study the concep[...]
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75%
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
2016 Vol. 21 11--16
EN A topological space is called connected if it is not the union of two disjoint, nonempty and open sets in this space. The standard exercises show that here the concept of open sets can be replaced by closed sets or separated sets. In this context we will discuss the definition of connected sets in t[...]
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Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
2009 Vol. 14 51-61
EN In the article we discuss some properties of a few classes of connected functions and cluster sets of functions from those classes.
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Demonstratio Mathematica
2017 Vol. 50, nr 1 299--308
EN A new property called Pβ-connectedness is introduced which is stronger than connectedness and equivalent to pre-connectedness. The properties of this notion are explored and its relationship with other forms of connectedness, for example hyperconnectedness etc. are discussed. Locally pre-indiscrete [...]
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Demonstratio Mathematica
2019 Vol. 52, nr 1 147--165
EN In 2011, Shabir and Naz [1] employed the notion of soft sets to introduce the concept of soft topologies; and in 2014, El-Sheikh and Abd El-Latif [2] relaxed the conditions of soft topologies to construct a wider and more general class, namely supra soft topologies. In this disquisition, we continue[...]
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Logistyka
2018 nr 6 25--29
PL Artykuł przedstawia zagadnienia szeroko rozumianego modelu logistyki biznesu w aspekcie opcji jego tworzenia i przeprojektowania. Analizy poprowadzono poprzez identyfikację struktur jednolitych topologicznie i struktur klasterowych w odniesieniu do typowania form modelu biznesu. Prezentowane treści [...]
EN The article presents the issues of broadly defined business logistic’s model in the aspect of its creating and redesigning options. The analyses have been carried out through identification of topologically uniform structures and claster in respect of spacial planning typing business model. The pres[...]
8
75%
Demonstratio Mathematica
EN Some preservation theorems for almost local connectedness are proved.
9
75%
Demonstratio Mathematica
EN In this article we investigate the products of two unilaterally approximately continuous and simultaneously approximately regulated functions. In particular we prove some necessary conditions satisfied by the products of two such functions and a sufficient condition ensuring that a function is the p[...]
10
75%
Demonstratio Mathematica
2013 Vol. 46, nr 3 617--629
EN In this paper, we introduce and study the concept of [γ, γ']-preopen sets in topological space.
11
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Demonstratio Mathematica
2005 Vol. 38, nr 1 223--234
EN In this paper we obtain new characterizations of upper and lower θ-quasicontinuous muitifunctions and investigate several properties of such multifunctions.
12
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Demonstratio Mathematica
2005 Vol. 38, nr 2 495--506
EN Any K-differential space determines the sheaf of germs of its elements. We consider the K-differential space induced and coinduced by a single mapping. In this special case, we compare the sheaf of germs of the induced K-differential space with the inverse image of the sheaf of germs of a given K-di[...]
13
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Demonstratio Mathematica
2005 Vol. 38, nr 3 729--738
EN In this paper we introduce and study the concepts of g-lambda alfa-continuous maps, g-lambda alfa-irresolute maps and g-lambda alfa-closed maps by using generalized lambda alfa-sets and generalized Valfa-sets.
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Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
2001 z. 25 [190] 197-203
EN Every topology F generates uniquely the convergence LF but also every convergence G generates the uniquely defined topology TG. We introduce the convergence condition Ho, corresponding to the known topological axiom of separation To, and prove that a given convergence G satisfies condition Ho if and[...]
15
63%
Journal of Mathematics and Applications
2013 Vol. 36 79--83
EN In this paper we introduce the notion of supra b-compact spaces and investigate its several properties and characterizat eions. Also we introduce and study the notion of supra b-Lindelöf spaces.
16
63%
Czasopismo Techniczne. Architektura
PL Architektura brutalistyczna powszechnie uważana jest za ponurą i nieprzyjazną. U jej genezy rzeczywiście stoi powojenna surowość, ale także fascynacja dzieckiem i jego sposobem widzenia świata. Nie powinno zatem zaskakiwać, że przestrzeń i formy brutalistycznych obiektów należy poznawać w ruchu, prz[...]
EN Brutalist architecture is widely regarded as gloomy and unfriendly. At its origin was the post-war austerity, but also a fascination with the child and its way of seeing the world. Therefore it is not surprising that the space and forms of brutalist buildings should be perceived by people moving alo[...]
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Zeszyty Naukowe Politechniki Świętokrzyskiej. Elektryka
2005 Z. 42 219-226
PL W pracy opisano pewne uogólnienie klasycznego pojęcia hipergrafu (por. [1]). Pokazano również, że pewien analogon dobrze znanego pojęcia grafu skierowanego może być używany jako model systemów von Bertalanffy-ego.
EN In the paper a generalization of the classical (see [1]) notion of hypergraphs is described and a topological presentation of them is presented. It is shown that a counterpart of the well known notion of directed graph may be used as a model of von Bertalanffy's systems.
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Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
2012 Vol. 17 57-68
EN In this paper we will give definitions of local Whitney convergence in F(X,Y ) and in C(X,Y ), where X is a topological space, (Y,d) is a metric space and F(X,Y ) is the space of all functions from X to Y and C(X,Y ) is the space of all continuous functions from X to Y . We will study some properties[...]
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Demonstratio Mathematica
2011 Vol. 44, nr 1 159--168
EN In this paper, we introduce and study a new class of functions by using the notions of b-θ-open sets and b-θ-closure operator called weakly BR-open functions. The connections between this function and the other existing topological functions are studied.
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63%
Demonstratio Mathematica
EN Let X be a set in Rn with positive Lebesgue measure. It is well known that the spectrum of the algebra L∞(X) of (equivalence classes) of essentially bounded, complex-valued, measurable functions on X is an extremely disconnected compact Hausdorspace. We show, by elementary methods, that the spectrum[...]
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