On $\mu$-paracompact and $\mu$-expandable spaces

Abstract

We introduced $(\mu,\kappa)$-perfect mapping and $\mu$-expandable space in generalized topology as well as  characterized. Also give an example that there exists a $\mu$-paracompact and $\mu$-$T_{2}$ space which is not $\mu$-regular. Finally, we proved some results on preserving the image (pre-image) of $\mu$-paracompact and $\mu$-expandable space.

Keywords

• Generalized topology
• $\mu$-paracompact
• $\mu$-expandable
• $\mu$-locally finite.

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