On independent subsets of Boolean algebras |
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Authors: | Winfried Just Martin Weese |
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Affiliation: | 1. Department of Mathematics, Ohio University, Athens, Ohio, USA 2. Institut für Reine Mathematik, Humboldt-Universit?t, Berlin, Germany
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Abstract: | ![]() We give here a partial solution to a problem of Monk ([2]). Let κ be a regular cardinal and let {Li∶i<κ} be a family of linear orderings with first element such that noL i contains a strictly decreasing sequence of length κ+. Then $$Indleft( {prodlimits_{i< kappa } {Intalg(L_i )} } right) leqslant 2^kappa .$$ |
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