Exam (elaborations)
TOPOLOGIES ON GROUPS DETERMINED BY SEQUENCES: ANSWERS TO SEVERAL QUESTIONS OF I.PROTASOV AND E.ZELENYUK
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Abstract. Answering questions of Protasov and Zelenyuk we prove the following results: 1. For every increasing function f : N → N with limn→∞ f(n + 1) − f(n) = ∞ and every metrizable totally bounded group topology τ on Z there exists a convergent to zero sequence (an)n∈ω in (Z, τ...
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