Classes of pretopological spaces closed under the formation of final structures

Autor:	Eva Lowen-Colebunders, Gert Sonck
Rok vydání:	1996
Předmět:	Combinatorics Coreflective subconstruct Reflexive relation Pretopological space Finitely generated space Partition (number theory) Final structure Geometry and Topology Inclusion order Mathematics
Zdroj:	Topology and its Applications. 70:199-211
ISSN:	0166-8641
DOI:	10.1016/0166-8641(95)00097-6
Popis:	We investigate coreflective subconstructs of the construct Prtop of pretopological spaces and continuous maps and in particular the inclusion “order” between these subconstructs. We describe the smallest, second and third coreflective class and then all minimal elements that are strictly larger. Using these minimal elements we obtain a “partition” of the whole conglomerate of coreflective subconstructs of Prtop . The results dealing with classes in one member of this partition have an immediate interpretation in the framework of reflexive relations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f5e8a448a1232c26d7e0e3258d77ec3 https://doi.org/10.1016/0166-8641(95)00097-6 Zobrazit plný text záznamu Full Text from ScienceDirect