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- W2060000688 abstract "The condition that all spherical diagrams in a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-complex be reducible is shown to be equivalent to the condition that all finite branched covers be aspherical. This result is related to the study of equations over groups. Furthermore large classes of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-complexes are shown to be diagrammatically reducible in the above sense; in particular, every <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-complex has a subdivision which admits a finite branched cover which is diagrammatically reducible." @default.
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- W2060000688 date "1987-01-01" @default.
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- W2060000688 title "Branched coverings of 2-complexes and diagrammatic reducibility" @default.
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- W2060000688 doi "https://doi.org/10.1090/s0002-9947-1987-0902792-x" @default.
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