For a spoace X, Clo(X) of a topological space X is the full subcategory of toplogical spaces and continuous functions generated by all finite powers X^n of X. We prove that for every cardinal number alfa there exists a space X such that Clon(X)=Clon(TMX) iff n<alfa and Clo(alfa)(X) is not isomorphic to Clo(alfa)(TMX), where TMX is the Tychonoff modification of X
Clone segments of the Tychonoff modification of space
TOZZI, Anna;
2000-01-01
Abstract
For a spoace X, Clo(X) of a topological space X is the full subcategory of toplogical spaces and continuous functions generated by all finite powers X^n of X. We prove that for every cardinal number alfa there exists a space X such that Clon(X)=Clon(TMX) iff nFile in questo prodotto:
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