Open AccessSIFAT KELENGKAPAN DAN KEKOMPAKAN PADA RUANG METRIK HAUSDORFF
Author(s) -
Dewanti Inesia Putri,
Arta Ekayanti
Publication year - 2019
Publication title -
jurnal silogisme/jurnal silogisme
Language(s) - English
Resource type - Journals
eISSN - 2548-7809
pISSN - 2527-6182
DOI - 10.24269/silogisme.v3i2.1469
Subject(s) - urysohn and completely hausdorff spaces , hausdorff distance , mathematics , metric space , continuous functions on a compact hausdorff space , injective metric space , intrinsic metric , hausdorff measure , convex metric space , metric differential , metric (unit) , hausdorff space , normal space , fisher information metric , hausdorff dimension , pure mathematics , mathematical analysis , topological vector space , topological space , operations management , economics
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