遗传$sigma$-亚紧空间及其乘积

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1、041;03-U~~Vol.41,No.31998'5ACTAMATHEMATICASINICAMay,1998lDσ-hTXQO`BMft3+(9MF5sVj9M643000)qjx!$)}σ-';(4
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2、x!~;)}σ-';Tychonoff{/σ-';&#yzJRE)}σ-';;σ--%0;σ--%";Tychonoff{;σ-MR(1991)vaIY54E18,54E35ubIYO189.11Heredi

3、tarilyσ-MetacompactSpaceandItsProductPropertiesZhuPeiyong(DepartmentofMathematics,ZigongTeachers’College,Zigong643000,China)AbstractInthispaper,wefirstproveagroupofequivalentcharacterizationsofheredi-tarilyσ-metacompactspaces.BytheoneofcharacterizationsweobtaintwoTychonoffproductthe

4、oremsandthetheoremonσ-product.Finally,weshowthattheaboveTychononoffproducttheoremsdonotholdifhereditarilyσ-metacompactisreplacedbyσ-metacompact.KeywordsHereditarilyσ-metacompact,Scatteredpartition,σ-pointfiniteopenex-pansion,σ-pointfiniteopenrefinement,Tychonoffproduct,σ-product1991MRS

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X.Gm1.2a!UeMX,
!;ek(2)∪V=∪U.Gm1.3AV=n∪∈ωVn2∀n

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+#;

16、Q(x)

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Xα,σ-^