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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Journal of Natural Sciences and Mathematics Research Edumatsains Teorema: Teori dan Riset Matematika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Eksakta : Berkala Ilmiah Bidang MIPA M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Leibniz: Jurnal Matematika Journal of Fundamental Mathematics and Applications (JFMA) Euclid Jurnal Matematika Integratif In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism)
Badrulfalah Badrulfalah
Matematika, Fakultas MIPA, Universitas Padjadjaran
Agriculture, Biological Sciences & Forestry Arts Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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ON PROPERTIES OF PROJECTIVE SPACE DETERMINED BY QUOTIENT MAP Kurniadi, Edi; Badrulfalah, Badrulfalah
Journal of Fundamental Mathematics and Applications (JFMA) Vol 8, No 2 (2025)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v0i0.27702

Abstract

The state of a system in quantum theory is not always described by an element of a Hilbert space but by an element of projective space. The research aims to prove that the real projective space consisting of one-dimensional linear subspaces is a smooth manifold which is constructed by a quotient map. It is shown that a projective space is a Hausdorff space, second countable, and -dimensional locally Euclidean. It is also proved that the -dimensional real a projective space is homeomorphic to the quotient topology . The proof involves a quotient map which is defined by a quotient topology.
Co-Authors Agus Supriatna Bahtiar Bahtiar D Susanti Dwi Susanti Dwi Susanti Dwi Susanti Edi Kurniadi Edi Kurniadi Eman Lesmana Fauzi Akhmad I Irianingsih Iin Irianingsih Iin Irianingsih Iis Irianingsih K Parmikanti K Parmikanti Kafsah Joebaedi Kankan Parmikanti Khafsah Joebaedi Khafsah Joebaedi Muhammad Deni Johansyah N Warwah Nendi Suhendi Syafei Nibros Komara Nurul Gusriani Qurrotun A’yun A Robin Kosasih