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## Real Analysis

by: Otilia Murray I

66

0

1

# Real Analysis MAT 125B

Otilia Murray I
UCD
GPA 3.88

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Otilia Murray I on Tuesday September 8, 2015. The Class Notes belongs to MAT 125B at University of California - Davis taught by Staff in Fall. Since its upload, it has received 66 views. For similar materials see /class/187395/mat-125b-university-of-california-davis in Mathematics (M) at University of California - Davis.

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Date Created: 09/08/15
1 Show that if the function F R A R is differentiable at a point z and its derivative DFz at z is invertible7 then there is an open ball 0 containing 1 such that Fy Fz for y 6 Or Hint Consider the function Cy DFI 1 9 F m 2 A function F R A Rm is said to be bilipschitz on a set V if there exist constants C1 and C2 such that CIHI yll S HFW Fyll S C2ll1 9H for all z y in Vi a Show that if F V C R A Rm is bilipshitz on V7 then F is onetoone on Vi b Show that if V C R and W C R are open sets and F V A W is bilipschitz and invertible7 then its inverse is a continuous function

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