Strongly Screenableness and its Tychonoff Products

نویسندگان

  • Jianjun Wang
  • Peiyong Zhu
چکیده

In this paper, we prove that if X is regular strongly screenable DC-like (C-scattered), then X × Y is strongly screenable for every strongly screenable space Y . We also show that the product ∏ i∈ω Yi is strongly screenable if every Yi is a regular strongly screenable DC-like space. Finally, we present that the strongly screenableness are poorly behaved with its Tychonoff products. Keywords—topological game; strongly screenable; scattered; Cscattered.

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تاریخ انتشار 2013