B—space and Br—spaces Versus Transformed Points

In this paper,we study B-spaces and Br-spaces by the transformed points of continuous,nearly open mappings.Two main results of J.D.Weston's [1] and T.Byczkowkis and R.Pol's[2] are generalized to ωμ-additive spaces and ωμ-metrizable spaces.

弱几乎正规空间

Ｍ．Ｋ．ＳｉｎｙａｌａｎｄＳ．Ｐ．Ａｒｙａ在［１］中定义了几乎正规空间．本文引进了弱几乎正规空间，并指出它是几乎正规空间的一般化，讨论了弱几乎正规空间的性质以及这类空间与其它空间之间的关系．

Almost Second Countable Spaces, Almost First Countable Spaces and Almost Separable Spaces

In this paper, we introduce almost second countable spaces, almost first countable spaces and almost separable spaces which are generalisations of second countable, first countable and separable spaces, respectively. We also study the prop-erties of the three new classes of spaces and almost Lindelof spaces and improve some results in [2].

具有次亚B性质的ω_(α+1)-紧T_(1)空间是ω_(α)-Lindelof空间

在本文中，我们证明了具有次亚Ｂ性质的ω＿（α＋１－）紧Ｔ＿１空间是ω＿α－Ｌｉｎｄｅｌｏｆ空间，此结果改进并推广了［１］中的主要结果。