I don't understand this weight fact at all

  • Thread starter 1MileCrash
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  • #1
1MileCrash
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http://en.wikipedia.org/wiki/Topological_basis#Weight_and_character

The 4th bullet says that if B is a basis for a top. space T, there is a basis B' that has a cardinality less than the weight of the space, but right before, the weight was defined to be the minimum cardinality of a basis.. :confused:
 

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  • #2
Office_Shredder
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Well, it says less than or equal, so technically it's still a correct statement, but I agree it should say |B'| = w(X) as far as I can tell.
 
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  • #3
1MileCrash
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Well, it says less than or equal, so technically it's still a correct statement, but I agree it should say |B'| = w(X) as far as I can tell.

Oh OK! Thank you! I thought I was just in over my head.
 

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