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2.26 let a be a translation of R Then (i) Da is a continuous bijection from onto R an open set under pa is an open (ii) The image o Set. of (ii) let & be an open set- The component interval +9 of C+a are exactly The images of the component intervals of the set & under translation a the goal of this section is to establish the following result.

2.26 let a be a translation of R Then (i) Da is a continuous bijection from onto R an open set under pa is an open (ii) The image o Set. of (ii) let & be an open set- The component interval +9 of C+a are exactly The images of the component intervals of the set & under translation a the goal of this section is to establish the following result.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.28 let xa be a translation of R Then (1) La is a continuous bijection from onto R (ii) The image of an open set under Da is an oper set. of (iii) let & be an open set. The component interval +a are exactly The images of the component intervals of the set & under translation a the goal of this section is to establish the following result.
Transcribed Image Text:2.28 let xa be a translation of R Then (1) La is a continuous bijection from onto R (ii) The image of an open set under Da is an oper set. of (iii) let & be an open set. The component interval +a are exactly The images of the component intervals of the set & under translation a the goal of this section is to establish the following result.
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