Onπ-Images of Locally Separable Metric Spaces
نویسندگان
چکیده
منابع مشابه
ON SEQUENCE-COVERING mssc-IMAGES OF LOCALLY SEPARABLE METRIC SPACES
We characterize sequence-covering (resp., 1-sequence-covering, 2-sequence-covering) mssc-images of locally separable metric spaces by means of σ-locally finite cs-networks (resp., sn-networks, so-networks) consisting of א0-spaces (resp., sn-second countable spaces, so-second countable spaces). As the applications, we get characterizations of certain sequence-covering, quotient mssc-images of lo...
متن کاملOn Quotient Π-images of Locally Separable Metric Spaces
We prove that a space is quotient π-image of a locally separable metric space if and only if it has a πand double cs∗cover. We also investigate quotient π-s-images of locally separable metric spaces.
متن کاملOn π-Images of Locally Separable Metric Spaces
To determine what spaces are the images of “nice” spaces under “nice” mappings is one of the central questions of general topology in 1 . In the past, many noteworthy results on images of metric spaces have been obtained. For a survey in this field, see 2 , for example. A characterization for a quotient compact image of a locally separable metric space is obtained in 3 . Also, such a quotient i...
متن کاملOn π-images of separable metric spaces
We prove that a space is a sequentially-quotient (pseudo-sequencecovering), π-image of a separable metric space if and only if it has a point-star network consisting of countable-cs∗-covers. We also investigate spaces with count-
متن کاملOn Pseudo-sequence-covering Π-images of Locally Separable Metric Spaces
In this paper, we characterize pseudo-sequence-covering π-images of locally separable metric spaces by means of fcs-covers and point-star networks. We also investigate pseudo-sequence-covering π-s-images of locally separable metric spaces.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2008
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2008/145683