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We define combinatorial structures which we refer to as flat morasses, and use them to construct a Lindelöf space with points of cardinality , consistent with GCH. The construction reveals, it is hoped, that flat morasses are a tool worth adding to the kit of any user of set theory.
R. W. Knight. "A topological application of flat morasses." Fundamenta Mathematicae 194.1 (2007): 45-66. <http://eudml.org/doc/283049>.
@article{R2007, abstract = {We define combinatorial structures which we refer to as flat morasses, and use them to construct a Lindelöf space with points $G_δ$ of cardinality $ℵ_ω$, consistent with GCH. The construction reveals, it is hoped, that flat morasses are a tool worth adding to the kit of any user of set theory.}, author = {R. W. Knight}, journal = {Fundamenta Mathematicae}, keywords = {morass; Lindelöf space; countable pseudocharacter}, language = {eng}, number = {1}, pages = {45-66}, title = {A topological application of flat morasses}, url = {http://eudml.org/doc/283049}, volume = {194}, year = {2007}, }
TY - JOUR AU - R. W. Knight TI - A topological application of flat morasses JO - Fundamenta Mathematicae PY - 2007 VL - 194 IS - 1 SP - 45 EP - 66 AB - We define combinatorial structures which we refer to as flat morasses, and use them to construct a Lindelöf space with points $G_δ$ of cardinality $ℵ_ω$, consistent with GCH. The construction reveals, it is hoped, that flat morasses are a tool worth adding to the kit of any user of set theory. LA - eng KW - morass; Lindelöf space; countable pseudocharacter UR - http://eudml.org/doc/283049 ER -