Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Josef Šlapal"'
Autor:
Josef Šlapal
Publikováno v:
Publicationes Mathematicae Debrecen. 38:39-48
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f7802dc2be09e98e68c38993d09bc64
https://doi.org/10.5486/pmd.1991.38.1-2.06
https://doi.org/10.5486/pmd.1991.38.1-2.06
Autor:
Josef Šlapal
Publikováno v:
Open Mathematics. 20:682-688
We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α > 0 \alpha \gt 0 in such a way that the closure of a set A A is given by closures of certain α \alpha -indexed s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0affd4ac266d6caebcc9fd21e8b9aaf1
https://doi.org/10.1515/math-2022-0046
https://doi.org/10.1515/math-2022-0046
Autor:
Minani Iragi, Josef Šlapal
Publikováno v:
Aequationes mathematicae.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0fd8dd8f1e2f22668ea1cc9991fd05c
https://doi.org/10.1007/s00010-022-00937-8
https://doi.org/10.1007/s00010-022-00937-8
Autor:
Josef Šlapal
Publikováno v:
Quaestiones Mathematicae; Vol. 45 No. 4 (2022); 513-522
In the paper, we introduce the concept of a preorder on a category and study its relation to categorical closure operators. In particular, employing a Galois connection, we show that there is a one-to-one correspondence between the idempotent closure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48bf73c235a9ac08303cca729148c253
https://doi.org/10.2989/16073606.2021.1884141
https://doi.org/10.2989/16073606.2021.1884141
Autor:
Josef Šlapal
Publikováno v:
Fundamenta Informaticae. 179:59-74
In this paper, we propose new definitions of digital Jordan curves and digital Jordan surfaces. We start with introducing and studying closure operators on a given set that are associated with n-ary relations (n > 1 an integer) on this set. Discussed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d55eac5d011354d81bd05e3a7c3333e2
https://doi.org/10.3233/fi-2021-2013
https://doi.org/10.3233/fi-2021-2013
Autor:
Josef Šlapal
Publikováno v:
Aequationes mathematicae. 96:129-136
Given a subobject-structured category $$\mathcal X$$ , we construct a new category whose objects are the pairs (X, c) where X is an $$\mathcal X$$ -object and c is an idempotent, monotonic and extensive endomap of the subobject lattice of X, and whos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d26a2cf1cfa2086dad0bae29d52f63fb
https://doi.org/10.1007/s00010-020-00772-9
https://doi.org/10.1007/s00010-020-00772-9
Autor:
Josef Šlapal
Publikováno v:
Filomat. 34:3229-3237
We introduce and study a closure operator on the digital plane Z2. The closure operator is shown to provide connectedness that allows for a digital analogue of the Jordan curve theorem. This enables using the closure operator for structuring the digi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e29f28b57c0a08366a88395cd915c69
https://doi.org/10.2298/fil2010229s
https://doi.org/10.2298/fil2010229s
Autor:
Josef Šlapal
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 1374-1380 (2019)
Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c853ffc3497c133f8d2fced1adeee751
https://doaj.org/article/9dc19ca15401488fbe17030f8c4b7eae
https://doaj.org/article/9dc19ca15401488fbe17030f8c4b7eae
Autor:
Josef Šlapal
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030670764
HPCSE
HPCSE
In a simple undirected graph, we introduce a special connectedness induced by a set of paths of length 2. We focus on the 8-adjacency graph (with the vertex set \(\mathbb {Z}^2\)) and study the connectedness induced by a certain set of paths of lengt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ed36dc3204efdf33b679237a20ca758
https://doi.org/10.1007/978-3-030-67077-1_9
https://doi.org/10.1007/978-3-030-67077-1_9
Autor:
Josef Šlapal
Publikováno v:
Computational and Applied Mathematics. 39
We introduce and discuss a concept of connectedness induced by an n-ary relation ( $$n>1$$ an integer). In particular, for every integer $$n>1$$ , we define an n-ary relation $$R_n$$ on the digital line $$\mathbb {Z}$$ and equip the digital space $$\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a6c8b670375b5ef4a9f19249e4f2d6f
https://doi.org/10.1007/s40314-020-01249-w
https://doi.org/10.1007/s40314-020-01249-w