某些广义度量空间的伪开、K－映象

THE IMAGES OF SOME GENERALIZED METRIC SPACES UNDER PSEUDO-OPEN AND K-MAPPINGS

讨论了一些广义度量空间的伪开、Ｋ－映象，主要结果是：（１）伪开、Ｋ－映射保持γ－空间（Ｋ－半分层空间，ＫＣ－半分层空间）；（２）几乎闭、伪开、紧－映射保持分层空间（可数仿紧空间）；（３）几乎闭、伪开、Ｋ－映射保持Ｃ－分层空间；（４）ＷＮ－空间在伪开、紧映射下的象是β－空间．

The author discusses the images of some generalized metric spaces under the pseudo-open and K-mappings. the results is following:(1) Pseudo-open and K-mappings preserve γ-spaces (K-semi-stratifiable spaces,KC- semistrati fiable spaces);(2) Almost closed and pseudo-open-mappings (countably paracompact spaces) ;(3) Almost closed,pseudo-open and K-mappings preserve C-stratifiable spaces ;(4) The image of WN-space is the β-space under the pseudo-open and compact-mappings.