- Dettagli della rivista
- Formato
- Rivista
- eISSN
- 1338-9750
- ISSN
- 1210-3195
- Pubblicato per la prima volta
- 12 Nov 2012
- Periodo di pubblicazione
- 3 volte all'anno
- Lingue
- Inglese

#### Cerca

#### Astratto

A theorem characterizing -connected spaces, which are completely Hausdorff, separable, locally and arcwise connected, is presented.

#### Parole chiave

- i-connected space
- completely Hausdorff space
- locally connected arcwise connected space

- Accesso libero

On homeomorphisms of density type topologies generated by functions

Pagine: 7 - 13

#### Astratto

The paper is concerned with homeomorphisms on topological spaces (ℝ

#### Parole chiave

- density point
- density topology
- homeomorphism.

- Accesso libero

Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions

Pagine: 15 - 27

#### Astratto

We present new sufficient conditions for the existence of a continuous utility function for an arbitrary binary relation on a topological space. Such conditions are basically obtained by using both the concept of a weakly continuous binary relation on a topological space and the concept of a network weight. We are concerning with suitable topological notions which generalize the concept of compactness and do not imply second countability or local compactness.

#### Parole chiave

- hereditarily Lindel¨of space
- weakly continuous binary relation
- countable network weight
- hemicompactness
- submetrizability.

- Accesso libero

Some convergence theorems for bk-integral in locally convex spaces

Pagine: 29 - 40

#### Astratto

In this paper, we present some convergence theorems for Bkintegral of functions taking values in a locally convex topological vector space. These theorems are involved with the notion of equi-Bk-integrability.

#### Parole chiave

- Bk-integral
- locally convex topological vector space
- convergence theorems
- equi- Bk-integrability.

#### Astratto

In this paper, we define and study the property called Sm´ıtal property for the pair (M

#### Parole chiave

- Sm´ıtal lemma
- Sm´ıtal property
- Borel measure
- Lebesgue-Stieltjes measure.

- Accesso libero

Strict density topology of the plane. category case

Pagine: 55 - 64

#### Astratto

We study the properties of category density topology of the plane generated by a restricted convergence in the category of double sequences of characteristic functions

#### Parole chiave

- category density of the plane
- convergence in the restricted sense
- separation axioms.

- Accesso libero

Application of Hurewicz theorem to classification of Π_{1}^{1} -complete sets

_{1}

^{1}-complete sets

Pagine: 65 - 69

#### Astratto

We present a simple proof of a dichotomy theorem by Kechris- -Louveau-Woodin [Kechris, A. S., Louveau, A.: _{1}^{1}_{1}^{1} -complete.

#### Parole chiave

- analytic set
- coanalytic set
- Π<sup>1</sup><sub>1</sub> -complete set
- hyperspace
- σ-ideal of compact sets
- Hurewicz theorem.

#### Astratto

#### Parole chiave

- Lower and upper semicontinuous functions
- properties wQN<sub>*</sub>
- wQN<sup>*</sup>
- SSP<sub>* </sub>and SSP<sup>*</sup>.

- Abstract We discuss modifications of wQN and SSP properties for semicontinuous functions with values in some special sets of reals and we give the relations among these notions. We present direct proofs of wQN* → wQN ∗ and SSP∗ → SSP∗.

#### Astratto

#### Parole chiave

- Sierpi´nski set
- nonmeasurable sets on the plane
- sections of the plane set

- Accesso libero

Some remarks on ρ-upper continuous functions

Pagine: 85 - 89

#### Astratto

#### Parole chiave

- density of a set at a point
- ρ-upper continuous functions
- approximately continuous functions
- Baire 1 functions
- Denjoy property.

- Accesso libero

On some characterizations of Baire class one functions and Baire class one like functions

Pagine: 91 - 106

#### Astratto

The basis of our considerations is a characterization of Baire class one functions presented by [Pen-Yee Lee - Wee-Kee Tang - Doingsheng Zhao:

#### Parole chiave

- Baire one function. B<sub>1</sub>**-function
- uniformly continuous function
- lower semicontinuous function
- weakly lower semicontinuous function
- upper semicontinuous function.

#### Astratto

#### Parole chiave

- subseries convergence
- weak*.

- Accesso libero

A Helly theorem in metric spaces and majored operations

Pagine: 111 - 123

#### Astratto

#### Parole chiave

- metric space
- vector space
- vector function
- bounded variation
- majored operator. Supported by grant agency Vega
- N. 2/0212/10.

- Accesso libero

On the Lukasiewicz probability theory on IF-sets

Pagine: 125 - 146

#### Astratto

#### Parole chiave

- probability
- IF-set
- limit theorems.