Paratopological and semitopological groups versus topological groups

By A. Arhangel'skii, E. Reznichenko. 2005

74 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/091dba5c5a40fa40cf0bfc5afef7bf9fafbe7830

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In Geometry and Topology

1. Chuan Liu
2. Fucai Lin

In Mathematical Physics

1. Chuan Liu
2. Fucai Lin

Citations in the corpus

• On paratopological groups (2012, background): “re exists a paratopological group which is not a topological group; Sorgenfrey line ([16, Example 1.2.2]) is such an example. Paratopological groups were discussed and many results have been obtained [7, 8, 6, 14, 22, 23, 24, 19]. Proposition 1.1. [29] For a group with topology (G,τ) the following c”