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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Equivalence of the Rothberger and k-Rothberger Games for Hausdorff Spaces

Hiers, Nathaniel Christopher 05 1900 (has links)
First, we show that the Rothberger and 2-Rothberger games are equivalent. Then we adjust the former proof and introduce another game, the restricted Menger game, in order to obtain a broader result. This provides an answer in the context of Hausdorff spaces for an open question posed by Aurichi, Bella, and Dias.
mathematics
topology
general topology
selection principles
topological games
Rothberger
2-Rothberger
k-Rothberger
Menger
Mathematics

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