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C(X)上开点拓扑与双点开拓扑的完备性性质

一般拓扑 2016-07-07 v1

作者: Anubha Jindal , R. A. McCoy , S. Kundu , Varun Jindal

在 arXiv 上查看 ↗ PDF ↗

摘要

本文研究了Tychonoff空间X上所有实值连续函数空间C(X)的开点（open-point）拓扑和双点开（bi-point-open）拓扑的各种完备性性质。这些性质从完全可度量化到Baire空间性质不等。

关键词

连续函数空间开点拓扑双点开拓扑完备性性质 Baire空间可度量化

引用

@article{arxiv.1607.01491,
  title  = {Completeness Properties of the open-point and bi-point-open topologies on C(X)},
  author = {Anubha Jindal and R. A. McCoy and S. Kundu and Varun Jindal},
  journal= {arXiv preprint arXiv:1607.01491},
  year   = {2016}
}

备注

9 pages. arXiv admin note: text overlap with arXiv:1604.04609, arXiv:1602.02374 by other authors