# New proofs of theorems of Michael and Worrell

## 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.

## Article Details

How to Cite
Joseph, J., & Nayar, B. (2017). New proofs of theorems of Michael and Worrell. Journal of Advanced Studies in Topology, 8(1), 21-23. https://doi.org/10.20454/jast.2017.1220
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