Complete separation in the random and Cohen models |
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Authors: | Doyel Barman |
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Institution: | Department of Mathematics, UNC-Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001, United States |
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Abstract: | It is shown that in the model obtained by adding κ many random reals, where κ is a supercompact cardinal, every C?-embedded subset of a first countable space (even with character smaller than κ) is C-embedded. It is also proved that if two ground model sets are completely separated after adding a random real then they were completely separated originally but CH implies that the Cohen poset does not have this property. |
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Keywords: | primary 54X10 58Y30 secondary 55Z10 |
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