SIFAT KELENGKAPAN DAN KEKOMPAKAN PADA RUANG METRIK HAUSDORFF

Dewanti Inesia Putri* -  Universitas Muhammadiyah Ponorogo
Arta Ekayanti -  Universitas Muhammadiyah Ponorogo

DOI : 10.24269/silogisme.v3i2.1469

In this paper, will be discuss the definition of the Hausdorff metric space, completeness of the Hausdorff metric space, and compactness of the Hausdorff metric space. By used the theory of the metric space, the compact set was given the definition of the Hausdorff metric space. By used the completeness of the metric space, it is shown that the Hausdorff metric space was complete if the metric space was complete. Furthermore, used the compactness of the metric space was shown the Hausdorff metric space was compact if the metric space was compact
Keywords
Metric Space, Hausdorff, Completeness, Compactness.
  1. Barich, K. (2011). Proving Completeness of The Hausdorff Induced Metric Space. Research Article: Whitman College. Diambil pada tanggal 7 Maret 2018, dari https://www.whitman.edu/Documents/Academics/Mathematics.
  2. Gelutu, A. (2006). Introduction to Topological Spaces and Set-Valued Maps (Lecture Notes). German: Ilmenau University of Technology.
  3. Tasković, M. R. (2005). Fréchet’s Metric Space-100th Next. Mathematica Moravica, 69-75.

Full Text:
Article Info
Submitted: 2019-01-07
Published: 2019-01-07
Section: Artikel
Article Statistics: 79 93
Citation :