IJPAM: Volume 93, No. 1 (2014)
SPACES AND META-LINDELÖF SPACES AND
SOME CONSEQUENT PRODUCT THEOREMS
Emeritus, Department of Mathematics
Washington, DC 20059, USA
35 E Street NW #709
Washington, DC 20001, USA
Department of Mathematics
Morgan State University
Baltimore, MD 21251, USA
Abstract. Filter characterizations of paralindelöf and meta-Lindelöf spaces are produced. The characterizations are then used to give new proofs of some well-known properties of these spaces. For product spaces, it is also shown that if and are paracompact (respectively, metacompact, paralindelöf, meta-Lindelöf) then is paracompact (respectively, metacompact, paralindelöf, meta-Lindelöf), provided that the projection is closed.
Received: December 27, 2013
AMS Subject Classification: 54D18, 54C10
Key Words and Phrases: paralindelöf, meta-Lindelöf, paracompact, metacompact
Download paper from here.
DOI: 10.12732/ijpam.v93i1.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 109 - 120
This work is licensed under the Creative Commons Attribution International License (CC BY).