σ-仿Lindel?f空间的Tychonoff乘积

Tychonoff Product on σ-Paralindel?f Spaces

中文关键词:  σ-仿Lindel?f空间  强Σ-空间  P-空间  P^*-空间  σ-局部有限基  ortho基  C-分散

英文关键词:σ-para Lindel?f  strong Σ-space  P-space  P^*-space  σ-locally finite base  orthobase C-scattered.

中文摘要:

      本文主要获得了两个拓扑空间的Ｔｙｃｈｏｎｏｆ乘积是σ-仿Ｌｉｎｄｅｌ?ｆ空间的三个定理

英文摘要:

      In this paper, we mainly obtained following three theorems on σ-para Lindel?f spaces: (1) If X is a σ-paralindel?f P-space and Y is a σ-expandable strong Σ-space, then X×Y is σ-para Lindel?f space. (2) If X is a σ-paralindelf P^*-space and Y has a σ-locally finite base, then X×Y is σ-para Lindel?f. (3) Let X and Y be σ-paralindel?f spaces with orthobase. If X is regular C scattered, then X×Y is σ-para-Lindel?f .