A Note on Paper "On Sum Theorems for M1-Spaces"
Received:April 23, 1988  
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Lin Shou Ningde Teacher's College
Fujian 
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Abstract:
      In the paper "On sum theorems for M1-spaces" , the author introduced the concept of strongly hereditarily closure-preserving family , and proved that "M1-spaces satisfy the a- hereditarily closure-preserving open sum theorem" , so , normality of Theorem 3 in was not essential. In this note we show that "strongly hereditarily closure-preserving family" is equivalent to "hereditarily closure-preserving family", and that conclusion of Theorem 3 in [1] is incorrect and normality of Theorem 3 in [3] in essential.
Citation:
DOI:10.3770/j.issn:1000-341X.1990.02.029
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