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MATHEMATICA BOHEMICA, Vol. 121, No. 4, pp. 415-424, 1996
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#
$\alpha$-continuous and $\alpha$-irresolute multifunctions

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Jiling Cao, Ivan L. Reilly

* Jiling Cao*, Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand. e-mail: ` cao@math.auckland.ac.nz`; * Ivan L. Reilly*, School of Mathematical & Information Sciences, The University of Auckland, Private Bag 92019, Auckland, New Zealand. e-mail: ` i.reilly@auckland.ac.nz`

**Abstract:** Recently Popa and Noiri established some new characterizations and basic properties of $\alpha$-continuous multifunctions. In this paper, we improve some of their results and examine further properties of $\alpha$-continuous and $\alpha$-irresolute multifunctions. We also make corrections to some theorems of Neubrunn.

**Keywords:** upper (lower) $\alpha$-continuous, upper (lower) $\alpha$-irresolute, strongly $\alpha$-closed graph, almost compact, almost paracompact

**Classification (MSC91):** 54C60, 54E55

**Full text of the article:**

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