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The D-property of some Lindelöf spaces and related conclusions by Liang-Xue Peng is a Mathematics article available to read on EtoBox.
What is The D-property of some Lindelöf spaces and related conclusions about?
It is shown that the space C p (τ ω ) is a D-space for any ordinal number τ , where τ ω = {α τ : cf (α) ω}. This conclusion gives a positive answer to R.Z. Buzyakova's question. We also prove that another special example of Lindelöf space is a D-space. We discuss the D-property of spaces with point-countable weak bases. We prove that if a space X has a point-countable weak base, then X is a D-space. By this conclusion and one of T. Hoshina's conclusion, we have that if X is a countably compact space with a point-countable weak base, then X is a compact metrizable space. In the last part, we show that if a space X is a finite union of θ-refinable spaces, then X is a αD-space.
Who reads The D-property of some Lindelöf spaces and related conclusions?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Liang-Xue Peng
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0166-8641)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)