An affirmative answer to Yamada's Conjecture
Chuan Liu, Fucai Lin
TL;DR
This paper confirms Yamada's Conjecture regarding free topological groups, providing a definitive answer to an open problem in the field of topological group theory.
Contribution
It offers a proof that affirms Yamada's Conjecture, advancing understanding of the properties of free topological groups.
Findings
Yamada's Conjecture is proven to be true.
The result impacts the study of Fréchet-Urysohn spaces in free topological groups.
The paper resolves an open question in topological group theory.
Abstract
In this paper, we give an affirmative answer to Yamada's Conjecture on free topological groups, which was posed in [K. Yamada, {\it Fr\'echet-Urysohn spaces in free topological groups}, Proc. Amer. Math. Soc., {\bf 130}(2002), 2461--2469.].
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research