D-completions of net convergence structures

نویسندگان

  • Weng Kin Ho
  • Dongsheng Zhao
  • Wen Shih Wee
چکیده

By extending Ershov’s notion of a d-space from topological spaces to net convergence spaces, this paper details the d-completion of certain net convergence structures which are rich enough to support it. In particular, it is demonstrated that spaces which are embeddable into d-spaces which have iterated limits admit d-completions. The main result reported herein generalizes an existing procedure for d-completion of T0 spaces.

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تاریخ انتشار 2010