Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Jacek Hejduk"'
Autor:
Jacek Hejduk, Renata Wiertelak
Publikováno v:
Opuscula Mathematica, Vol 43, Iss 6, Pp 803-811 (2023)
This paper deals with essential generalization of \(\mathcal{I}\)-density points and \(\mathcal{I}\)-density topology. In particular, there is an example showing that this generalization of \(\mathcal{I}\)-density point yields the stronger concept of
Externí odkaz:
https://doaj.org/article/1b0c7e3bd218415b9859bd2c85553cae
Autor:
Anna Loranty, Jacek Hejduk
Publikováno v:
Volume: 49, Issue: 6 1907-1914
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
In the paper we concentrate on a generalized topological space generated by a density type operator on a measurable space. The properties of such generalized topological space are investigated. Moreover, the properties of nowhere dense sets, meager s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01c8e1775ba48255d6bbc0fb7ebf09d3
https://doi.org/10.15672/hujms.580157
https://doi.org/10.15672/hujms.580157
Autor:
Anna Loranty, Jacek Hejduk
Publikováno v:
Georgian Mathematical Journal. 28:733-738
In the paper, some properties of functions continuous with respect to a density type strong generalized topology are presented. In particular, it is proved that each real function is approximately continuous with respect to this generalized topology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::875c3c4349846f193efafb4743c17a43
https://doi.org/10.1515/gmj-2020-2081
https://doi.org/10.1515/gmj-2020-2081
Publikováno v:
Results in Mathematics. 77
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b10f8efc59d0a8a1ab0154eec1f1f54
https://doi.org/10.1007/s00025-021-01585-1
https://doi.org/10.1007/s00025-021-01585-1
We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class $$\pmb \Pi ^0_3$$ Π 3 0 which is analogous to the measure case. We also introduce the notion of the Baire category
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d24e519d0e060519dfce95887d66c4b5
Autor:
Jacek Hejduk, Renata Wiertelak
Publikováno v:
Georgian Mathematical Journal. 26:611-616
The aim of this paper is the investigation of topologies generated by operators related to a complete extension of the Lebesgue measure over the real line. Some properties of such topologies provide their structure and separation axioms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06631263d51b79e13d653886497e612f
https://doi.org/10.1515/gmj-2018-0050
https://doi.org/10.1515/gmj-2018-0050
Publikováno v:
Filomat. 32:4949-4957
In the paper we concentrate on lower, almost-lower and semi-lower density operators on measurable spaces. The existence of maximal element in the families of such operators is investigated. Moreover, we consider topologies generated by the above oper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d289f643e5274043b71de568c2561122
https://doi.org/10.2298/fil1814949h
https://doi.org/10.2298/fil1814949h
Autor:
Renata Wiertelak, Jacek Hejduk
Publikováno v:
Mathematica Slovaca. 67:1323-1332
In this paper we will consider 𝓙-density topology connected with a sequence 𝓙 of closed intervals tending to 0 and a 𝓙-approximately continuous function associated with that kind of density points. It will be the continuation of the investig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ef92f6020339518c0eaa2bdc551e6d2
https://doi.org/10.1515/ms-2017-0054
https://doi.org/10.1515/ms-2017-0054
Publikováno v:
Tatra Mountains Mathematical Publications. 65:49-59
This paper presents the properties of continuous functions equipped with the J-density topology or natural topology in the domain and the range.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eff1321202932017b2bcd046b0aa3372
https://doi.org/10.1515/tmmp-2016-0004
https://doi.org/10.1515/tmmp-2016-0004
Publikováno v:
Tatra Mountains Mathematical Publications. 65:37-48
Some kind of abstract density topology in a topological Baire space is considered. The semiregularization of this type of topology on the real line in many cases is the coarsest topology for which real functions continuous with respect to the abstrac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d8209be3b85fadcbfa7e06fbb32a03a
https://doi.org/10.1515/tmmp-2016-0003
https://doi.org/10.1515/tmmp-2016-0003