On the Lusternik-Schnirelmann category in the theory of shape
On the Maćkowiak-Tymchatyn theorem
On the mappings and in intermediate rings of
In this article, we investigate new topological descriptions for two well-known mappings and defined on intermediate rings of . Using this, coincidence of each two classes of -ideals, -ideals and -ideals of is studied. Moreover, we answer five questions concerning the mapping raised in [J. Sack, S. Watson, and among intermediate rings, Topology Proc. 43 (2014), 69–82].
On the maximality of the sum of two maximal monotone operators.
In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: Uλ ≥ 0 λ (dom B - dom A) is a closed linear subspace of X.
On the maximum and the minimum of quasi-continuous functions
On the maximum of generalized Darboux functions
On the Nielsen fixed point theory for multivalued mappings
We present J. Jezierski's approach to the Nielsen fixed point theory for a broad class of multivalued mappings [Je1]. We also describe some generalizations and different techniques existing in the literature.
On the Novák completion of convergence groups
On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor
We extend a theorem of S. Claytor in order to characterize the Peano generalized continua which are embeddable into the 2-sphere. We also give a characterization of the Peano generalized continua which admit closed embeddings in the Euclidean plane.
On the pointwise limits of sequences of Świątkowski functions
The characterization of the pointwise limits of the sequences of Świątkowski functions is given. Modifications of Świątkowski property with respect to different topologies finer than the Euclidean topology are discussed.
On the position of the set of monotone mappings in function spaces
On the preservation of Baire and weakly Baire category
We consider the question of preservation of Baire and weakly Baire category under images and preimages of certain kind of functions. It is known that Baire category is preserved under image of quasi-continuous feebly open surjections. In order to extend this result, we introduce a strictly larger class of quasi-continuous functions, i.e. the class of quasi-interior continuous functions. We show that Baire and weakly Baire categories are preserved under image of feebly open quasi-interior continuous...
On the problem of preserving the class of continuous real functions
On the product topology associated with semi-closed sets
On the Productivity of l_1(Γ) Embeddings
On the proximate fixed-point property for multifunctions
On the pullback stability of a quotient map with respect to a closure operator.
On the quasi-uniform convergence of transfinite sequences of functions.
On the relation between continuous and connected functions
On the Scott topology on the set of continuous maps