Premium
Open subspaces of locally compact metric spaces
Author(s) -
Mandelkern Mark
Publication year - 1993
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19930390124
Subject(s) - locally compact space , mathematics , compactification (mathematics) , linear subspace , relatively compact subspace , compact space , subspace topology , metric space , pure mathematics , open and closed maps , open set , locally compact group , topology (electrical circuits) , mathematical analysis , combinatorics
Although classically every open subspace of a locally compact space is also locally compact, constructively this is not generally true. This paper provides a locally compact remetrization for an open set in a compact metric space and constructs a one‐point compactification. MSC: 54D45, 03F60, 03F65.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom