Fan-Gottesman Compactification and Completeness

Ceren Sultan ELMALI¹ and Tamer UĞUR²

1. Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100 Erzurum-Turkey.

2. Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum-Turkey.

Abstract: It is investigated that Fan-Gottesman compactification of (X, d) is homeomorphic to the completion of (X, d^φ) totally bounded metric space. As application, we construct Fan-Gottesman compactification of (Rⁿ, d_E), where d_E is the euclidean metric and n ≥ 2 and show that Fan-Gottesman compactification of (Rⁿ, d_E) is homeomorphic to its completion.

Keywords: Fan-Gottesman compactification, completion.

Pages: 304 – 310 | Full PDF Paper