On Thin, Very Thin, and Slim Dense Sets

نویسندگان

  • Gary Gruenhage
  • Tomasz Natkaniec
  • Zbigniew Piotrowski
چکیده

The notions of thin and very thin dense subsets of a product space were introduced by the third author, and in this article we also introduce the notion of a slim dense set in a product. We obtain a number of results concerning the existence and non-existence of these types of small dense sets, and we study the relations among them.

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تاریخ انتشار 2006