Difference between revisions of "12-240/Classnotes for Thursday October 11"
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== corollaries == | == 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 = <math>\infty \!\,</math> | ||
+ | |||
+ | ex: dim P(F)= <math>\infty \!\,</math> | ||
== Lecture notes scanned by [[User:Oguzhancan|Oguzhancan]] == | == Lecture notes scanned by [[User:Oguzhancan|Oguzhancan]] == |
Revision as of 16:33, 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)=