Teori Himpunan: Sebuah Studi Tentang Teori Ukuran Lebesgue Dan Fungsi Cantor
DOI:
https://doi.org/10.47861/jkpu-nalanda.v2i1.864Keywords:
Set, Lebesgue measure, Cantor functionAbstract
Set theory is a mathematical science that studies the theory associated with abstract collections of objects. These collections can be defined as distinct objects and can already be proven clearly and can be seen as a unified whole. Set theory is related to Lebesgue Measure Theory because, this measure maps Algebra to . Henry Lebesgue (1902) compiled a measure theory known as the Lebesgue measure. By using this measure theory, there can be a correlation with the cantor set. The reason is that Lebesgue measure theory is one of the set forms that has zero Lebesgue measure where there is a cantor function in it which is an uncountable set. The purpose of this article is to discuss the relationship between Lebesgue measure theory and cantor function on a set.
References
Darwanto, Karsonai Berta Dinata, Junaidi 2020. “Teori Himpunan” : Lampung/Universitas Muhammadiyah Kotabumi.
Dylan, R.N. (2002). The Cantor Set-A Brief Introduction.
Edi Wiyono, Riski Wahyu Yunian Putra, Netriwati, Dr. bambang Sri Anggoro 2020. “Himpunan Matematika, Pembahasan Materi Dan Soal Cerita Himpunan” : Bandar Lampung/CV. Arjasa Pratama.
Herlinawati, E. (2020). Fungsi Cantor-Lebesgue Dan Himpunan Terukur Lebesgue. FIBONACCI: Jurnal Pendidikan Matematika Dan Matematika, 6(2), 99–104. https://doi.org/10.24853/fbc.6.2.99-104
Kisti Nur Aliyah, M. (2013). Fungsi Cantor. MATHunesa: Jurnal Ilmiah Matematika.
Nur Aliyah, K. (2024). Fungsi Cantor. 1–6.
Royden, HL (1988). Analisis Nyata (Edisi ke-3rd). New York: macmilan. P. 56.ISBN _ 0-02-404151-3.
Statistika dan Matematika Himpunan Cantor. Matematika FMIPA Unpam, 2(2), 167–175.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Dika Tamara Dewi, Melati Rianingsi, Santi Yani Narwawan, Halima Rumaday
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
