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Around accumulation points and maximal sequences of indiscernibles

Around accumulation points and maximal sequences of indiscernibles

Abstract Answering a question of Mitchell (Trans Am Math Soc 329(2):507–530, 1992) we show that a limit of accumulation points can be singular in $${\mathcal {K}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>K</mml:mi> </mml:math> . Some additional constructions are presented.