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Free sets for nowhere-dense set mappings |
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| Authors: | Uri Avraham |
| Institution: | (1) Department of Mathematics, Dartmouth College, Hanover, New Hampshire, USA |
| Abstract: | We give some consistency results on the existence of uncountable free sets for nowhere-dense set mappings. For example, we prove that it is relatively consistent with ZFC and Martin’s Axiom that any nowhere-dense set mapping defined on the reals has an uncountable free set. |
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