COMPACTIFICATION INFORMATION VIA METRIC LEE

Tilings in Lee metric

Gravier et al. proved [S. Gravier, M. Mollard, Ch. Payan, On the existence of three-dimensional tiling in the Lee metric, European J. Combin. 19 (1998) 567–572] that there is no tiling of the three-dimensional space R3 with Lee spheres of radius at least 2. In particular, this verifies the Golomb–Welch conjecture for n = 3. Špacapan, [S. Špacapan, Non-existence of face-to-face four-dimensional ...

and Dik Lun Lee INFORMATION DISSEMINATION via Wireless Broadcast

105 Unrestricted mobility adds a new dimension to data access methodology— one that must be addressed before true ubiquity can be realized. INFORMATION DISSEMINATION via Wireless Broadcast T he advent of sensor, wireless, and portable device technologies will soon enable us to embed computing technologies transparently in the environment to provide uninterrupted services for our daily life. Wit...

List Decoding of Lee Metric Codes

1 Abbreviations and Notations 2

The Nachbin Compactification via Convergence Ordered Spaces

The minimum uniform compactification of a metric space

It is shown that associated with each metric space (X, d) there is a compactification udX of X that can be characterized as the smallest compactification of X to which each bounded uniformly continuous real-valued continuous function with domain X can be extended. Other characterizations of udX are presented, and a detailed study of the structure of udX is undertaken. This culminates in a topol...