New proofs of theorems of Michael and Worrell
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Abstract
New proofs of theorems of Michael and Worrell, that paracompactness and metacompactness are closed continuous invariants are presented here. A result due to Joseph and Kwack that all open sets in \(Y\) have the form \(g(V)-g(X-V)\), where \(V\) is open in \(X\), if \(g:X\to Y\) is continuous, closed and onto is used to give the new proofs.
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Joseph, J. E. ., & Nayar, B. M. P. . (2022). New proofs of theorems of Michael and Worrell. Journal of Advanced Studies in Topology, 8(1), 21–23. Retrieved from http://www.m-sciences.com/index.php/jast/article/view/220
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Research Articles
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