Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Colebunders, Eva"'
Publikováno v:
Applied Categorical Structures 22(3) Page 551-563, 2014
Two classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other, are extended to convergence-approach space
Externí odkaz:
http://arxiv.org/abs/1212.6398
Publikováno v:
International Journal of Theoretical Physics, 38, 1999, 259
We show that the natural mathematical structure to describe a physical entity by means of its states and its properties within the Geneva-Brussels approach is that of a state property system. We prove that the category of state property systems (and
Externí odkaz:
http://arxiv.org/abs/quant-ph/0105108
Autor:
Sioen, Mark, Colebunders, Eva
For a topological zero-dimensional Hausdorff space (X, (Figure presented.)) it is well known that the Banaschewski compactification ζ(X, (Figure presented.)) is of Wallman-Shanin-type, meaning that there exists a closed basis (the collection of all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3848::d4624be046067bc5e4a0c65f7f27516f
https://biblio.vub.ac.be/vubir/the-banaschewski-compactification-is-of-wallmanshanin-type(4b6071b0-1de7-4526-a415-9363afe2cddd).html
https://biblio.vub.ac.be/vubir/the-banaschewski-compactification-is-of-wallmanshanin-type(4b6071b0-1de7-4526-a415-9363afe2cddd).html
Autor:
Lowen-Colebunders, Eva
Publikováno v:
Proceedings of the American Mathematical Society, 1978 Oct 01. 72(1), 205-210.
Externí odkaz:
https://www.jstor.org/stable/2042565
Autor:
COLEBUNDERS, EVA1 evacoleb@vub.ac.be, VAN OPDENBOSCH, KAREN1 karen.van.opdenbosch@vub.ac.be
Publikováno v:
Theory & Applications of Categories. 2017, Vol. 32 Issue 31-42, p1454-1484. 31p.
In this paper we give an isomorphic description of the category of non-Archimedian approach spaces as a category of lax algebras for the ultrafilter monad and an appropriate quantale. Non-Archimedean approach spaces are characterised as those approac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3848::1c0a86e24ff763b2017ed1dea8ee2570
https://biblio.vub.ac.be/vubir/topological-properties-of-nonarchimedean-approach-spaces(abce7cef-e044-40e1-bf8b-78978af00a94).html
https://biblio.vub.ac.be/vubir/topological-properties-of-nonarchimedean-approach-spaces(abce7cef-e044-40e1-bf8b-78978af00a94).html
Publikováno v:
Contemporary Mathematics. :37-88
We develop the completion theories for regular nearness spaces as well as for regular Cauchy spaces and we describe the respective suitable classes of maps such that uniqueness of completion is obtained. We moreover give basic references and some his
Autor:
Colebunders, Eva
The paper is a contribution to the study of separation, connectedness and compactness in the setting of Cauchy spaces. This study is based on the concept of closed subsets and the related closure operator as introduced by M. Baran in the setting of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3848::0db8b58cf710243aac41c2b057aa0f23
https://biblio.vub.ac.be/vubir/review-on-a-note-on-cauchy-spaces(1c4c46f4-3dfe-4dc2-9f84-b088ac18cf37).html
https://biblio.vub.ac.be/vubir/review-on-a-note-on-cauchy-spaces(1c4c46f4-3dfe-4dc2-9f84-b088ac18cf37).html
Autor:
Colebunders, Eva
The paper deals with the geometry of the space H(Rn), which is the hyperspace of non-empty compact subsets of Rn endowed with the Hausdorff metric h. The main topic is the study of the betweenness relation. Given two distinct elements A and B in H(Rn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3848::3f39675e6eae73ce3524b723ca295eab
https://biblio.vub.ac.be/vubir/review-on-contractibility-and-local-contractibility-in-hyperspaces(6cb4215d-72f0-4af3-83c2-05263a0c7e71).html
https://biblio.vub.ac.be/vubir/review-on-contractibility-and-local-contractibility-in-hyperspaces(6cb4215d-72f0-4af3-83c2-05263a0c7e71).html
Autor:
Colebunders, Eva
The paper is a survey on "bornological convergence" of nets of subsets of a metric space. Given a metric space (X, d) and a family (in most cases an ideal) of nonempty subsets S, a net (A?)? is said to be S-convergent to A ? P(X) provided, whenever S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3848::85ca1ebb85220149d4ed0fb22429fbb4
https://biblio.vub.ac.be/vubir/review-on-bornological-convergence(ce4a7162-82ab-475b-a0d5-0f22947efdac).html
https://biblio.vub.ac.be/vubir/review-on-bornological-convergence(ce4a7162-82ab-475b-a0d5-0f22947efdac).html