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Hausdorff measures and dimension

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Hausdorff measures and dimension

HANOI PEDAGOGICAL UNIVERSITY 2FACULTY OF MATHEMATICS------0O0-----DOAN THI PHUONGHAUSDORFF MEASURES AND DIMENSIONBACHELOR THESISMajor: AnalysisHanoi -

Hausdorff measures and dimension- 2019HANOI PEDAGOGICAL UNIVERSITY 2FACULTY OF MATHEMATICS0O0DOAN THI PHUONGHAUSDORFF MEASURES AND DIMENSIONBACHELOR THESISMajor: AnalysisSupervisor:D

r. Do Hoang SonHanoi - 2019Acknowledgment1would like to express my gratitude to the teacher of the Faculty of Mathematics, Hanoi Pedagogical Universit Hausdorff measures and dimension

y 2, Institute of Mathematics and the teachers in the analysis group as well as the teachers involved. The lecturers have imparted valuable knowledge

Hausdorff measures and dimension

and facilitated for me to complete the course and the thesis.In particular, I would like to express my deep respect and gratitude to Dr. Do Hoang Son,

HANOI PEDAGOGICAL UNIVERSITY 2FACULTY OF MATHEMATICS------0O0-----DOAN THI PHUONGHAUSDORFF MEASURES AND DIMENSIONBACHELOR THESISMajor: AnalysisHanoi -

Hausdorff measures and dimensione true and the topic of this thesis is not identical to other topics. 1 also assure that the used literature and the other auxiliary resources have be

en completely referenced.Hanoi, May 6, 2019StudentDoan Thi PhuongContentsTable of NotationsiiiPreface11 Background in measure theory21.1.Measure on a Hausdorff measures and dimension

set algebra............................ 2

HANOI PEDAGOGICAL UNIVERSITY 2FACULTY OF MATHEMATICS------0O0-----DOAN THI PHUONGHAUSDORFF MEASURES AND DIMENSIONBACHELOR THESISMajor: AnalysisHanoi -

HANOI PEDAGOGICAL UNIVERSITY 2FACULTY OF MATHEMATICS------0O0-----DOAN THI PHUONGHAUSDORFF MEASURES AND DIMENSIONBACHELOR THESISMajor: AnalysisHanoi -

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