In this work we consider spaces of increasing functions defined on a subset of an ordered normed space. We equip each of these spaces with a natural metric and show that the complement of the subset of all strictly increasing functions is ?-porous. We also discuss some properties of normal sets and strictly normal sets
AbstractThe purpose of this paper is to study which quasi-metrizable spaces are monotonically normal...
The main theme of this document and much of the author's research so far is to use porosity (as well...
We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
It is shown that in metric spaces each [alpha, phi)-meagre set A is uniformly very porous and its in...
summary:For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points...
Abstract. Let X be a metric measure space with an s-regular measure µ. We prove that if A ⊂ X is ̺-p...
Abstract. Let X be a metric measure space with an s-regular measure . We prove that if A X is %-por...
of the dissertation thesis Title: Sigma-porous sets and the differentiation theory Author: Martin Ko...
We study the minimization problem f(x)→min, x∈C, where f belongs to a complete metric space ℳ of con...
summary:We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn t...
Let (X, d) be a bounded metric space with a base point 0 X , (Y, •) be a Banach space and Lip α 0 (X...
In the present thesis we prove several new results concerning -porous sets. In the first two chapter...
A function f : R ! R is internally cliquish (internally quasi-continuous) if it is cliquish (quasi-c...
AbstractThe purpose of this paper is to study which quasi-metrizable spaces are monotonically normal...
The main theme of this document and much of the author's research so far is to use porosity (as well...
We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
It is shown that in metric spaces each [alpha, phi)-meagre set A is uniformly very porous and its in...
summary:For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points...
Abstract. Let X be a metric measure space with an s-regular measure µ. We prove that if A ⊂ X is ̺-p...
Abstract. Let X be a metric measure space with an s-regular measure . We prove that if A X is %-por...
of the dissertation thesis Title: Sigma-porous sets and the differentiation theory Author: Martin Ko...
We study the minimization problem f(x)→min, x∈C, where f belongs to a complete metric space ℳ of con...
summary:We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn t...
Let (X, d) be a bounded metric space with a base point 0 X , (Y, •) be a Banach space and Lip α 0 (X...
In the present thesis we prove several new results concerning -porous sets. In the first two chapter...
A function f : R ! R is internally cliquish (internally quasi-continuous) if it is cliquish (quasi-c...
AbstractThe purpose of this paper is to study which quasi-metrizable spaces are monotonically normal...
The main theme of this document and much of the author's research so far is to use porosity (as well...
We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define...
DOI
Add to ORKG