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Notes on dimensional closure spaces

par Ohn, Christian
Référence Journal of combinatorial theory. Series A, 55, 1, page (140-142)
Publication Publié, 1990-09

Article révisé par les pairs

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Résumé :

It is well known that no interesting theory can be developed upon the general concept of closure spaces, without any further specification. A very important class of closure spaces is constituted by independence spaces. On the other hand, F. Buekenhout uses closure structures to define abstract projective spaces. In order to get there, he defines an intermediate class of closure spaces, called dimensional spaces, which already possess some structural regularity. The main result of this note is the fact that independence spaces and dimensional spaces are equivalent. © 1990.