SOME ADDITIONAL NOTES ON GLOBALLY POROUS SETS

Jan Hlaváček

doi:10.2307/44153849

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Home > Journals > Real Anal. Exchange > Volume 19 > Issue 1 > Article

1993/1994 SOME ADDITIONAL NOTES ON GLOBALLY POROUS SETS

Jan Hlaváček

Real Anal. Exchange 19(1): 332-348 (1993/1994). DOI: 10.2307/44153849

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Abstract

Two different notions of global porosity are discussed. Relations between them are discovered, and some new characterizations of globally porous sets are given. A connection to Dolženko’s boundary value problem is emphasized. Finally the notion of a bilaterally globally porous set is defined and some properties of such sets are discused. Several errors in the literature are corrected.