The New Encyclopaedia Britannica, Volume 18Encyclopaedia Britannica, 1974 - Encyclopedias and dictionaries |
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Page 490
... space following hypotheses of compactness of spaces from which the space is constructed . A topologi- cal space is compact if every covering by open sets has a finite subcovering , and , in the case of a metric space ( a space in which ...
... space following hypotheses of compactness of spaces from which the space is constructed . A topologi- cal space is compact if every covering by open sets has a finite subcovering , and , in the case of a metric space ( a space in which ...
Page 512
... space has the property and a second space is topologically equivalent to the first , then the second has the property also . Properties having to do with size or straightness are not topological properties . Various topo- logical ...
... space has the property and a second space is topologically equivalent to the first , then the second has the property also . Properties having to do with size or straightness are not topological properties . Various topo- logical ...
Page 513
... space , discrete spaces , the lexico- graphically ordered square , E1 - bad , and the upper half- plane space satisfy the axiom . Some Cartesian - product spaces do not satisfy the axiom at any point whatsoever . To get another Hausdorff ...
... space , discrete spaces , the lexico- graphically ordered square , E1 - bad , and the upper half- plane space satisfy the axiom . Some Cartesian - product spaces do not satisfy the axiom at any point whatsoever . To get another Hausdorff ...
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