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Knowledge space theory and union-closed sets conjecture |
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รหัสดีโอไอ | |
Creator | Chatchawan Panraksa |
Title | Knowledge space theory and union-closed sets conjecture |
Publisher | Research and Development Office, Prince of Songkla University |
Publication Year | 2559 |
Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
Journal Vol. | 38 |
Journal No. | 4 |
Page no. | 449-451 |
Keyword | knowledge space,union-closed sets conjecture,topological space |
ISSN | 0125-3395 |
Abstract | The knowledge space theory provides a framework for knowledge management. One of major problems is to find coreinformation for a body of knowledge. Union closed set conjecture, if true, guarantees that for a given knowledge space, thereis an information that is linked to at least half of the knowledge units. This paper deals with a variant problem, where theknowledge space is also a topological space and possibly infinite. We prove that there is a point belonging to as many opensets as of the topological space itself. |