12-240/Classnotes for Thursday October 11: Difference between revisions
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== corollaries == |
== corollaries == |
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1/ If V has a finite basic β1, then any other basic β2 of V is also finite and |β1|=|β2| |
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2/ "dim V" makes sense |
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dim V = |β| if V has a finite basic β |
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Otherwise, dim V = <math>\infty \!\,</math> |
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ex: dim P(F)= <math>\infty \!\,</math> |
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== Lecture notes scanned by [[User:Oguzhancan|Oguzhancan]] == |
== Lecture notes scanned by [[User:Oguzhancan|Oguzhancan]] == |
Revision as of 15:33, 12 October 2012
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In this lecture, the professor concentrate on corollaries of basic and dimension.
Annoucements
TA Office Hours (Still pending!) @ 215 Huron St., 10th floor.
Peter - 11am - 1pm
Brandon 1pm - 3pm
Topic: Replacement Theorem
corollaries
1/ If V has a finite basic β1, then any other basic β2 of V is also finite and |β1|=|β2|
2/ "dim V" makes sense
dim V = |β| if V has a finite basic β
Otherwise, dim V =
ex: dim P(F)=