New proofs of theorems of Michael and Worrell

  • James E. Joseph Howard University
  • Bhamini M. P. Nayar Morgan Sate University

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.

Published
2017-02-18
How to Cite
JOSEPH, James E.; NAYAR, Bhamini M. P.. New proofs of theorems of Michael and Worrell. Journal of Advanced Studies in Topology, [S.l.], v. 8, n. 1, p. 21-23, feb. 2017. ISSN 2090-388X. Available at: <http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1220>. Date accessed: 20 aug. 2017. doi: https://doi.org/10.20454/jast.2017.1220.
Section
Original Articles