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Path-connected Group Extensions
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Abstract
Let N be a normal subgroup of a path-connected topological group (G; t). In this paper, the authors consider the existence of path-connectedness in refined topologies in order to address the property of maximal path-connectedness in topological groups. In particular, refinements on t and refinements on the quotient topology on G=N are studied. The preservation of path-connectedness in extending topologies and translation topologies is also considered.
참고문헌 (3)
- "Int. J. Math. Math. Sci.", 7 3, pp.621~623 (1984)
- "Path-connectedness in the plane as a topological group", 2(7), pp.719~725 (2002)
- "Refining connected topological group topologieson abelian torsion-free groups", 124, pp.281~288 (1998)
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