A topological duality for strong Boolean posets
Abstract In this paper, we define a new class of posets which are complemented and ideal-distributive, we call these posets strong Boolean. This definition is a generalization of Boolean lattices on posets, and is different from Boolean posets. We give a topology on the set of all prime Frink ideals in order to obtain the Stone’s topological representation for strong Boolean posets. A discussion of a duality between the categories of strong Boolean posets and BP-spaces is also presented.
2019 ◽
Vol 64
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pp. 11-23
1995 ◽
Vol 53
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pp. 232-233
1992 ◽
Vol 50
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pp. 540-541
1996 ◽
Vol 54
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pp. 160-161
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1998 ◽
Vol 31
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pp. 33A
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