A note on free paratopological groups
Fucai Lin
TL;DR
This paper explores generalized metric properties and characterizations of free paratopological groups, extending known results from free topological groups to this broader class.
Contribution
It extends several properties and results from free topological groups to free paratopological groups, broadening the understanding of their structure.
Findings
Generalized metric properties of free paratopological groups
Characterizations of free paratopological groups
Extension of results from free topological groups
Abstract
In this paper, we mainly discuss some generalized metric properties and the character of the free paratopological groups, and extend several results valid for free topological groups to free paratopological groups.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Fuzzy and Soft Set Theory · Fixed Point Theorems Analysis