12-240/Classnotes for Thursday October 11

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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)=

Lecture notes scanned by Oguzhancan