Cohomology of finite covers
Cohomology of finite covers
For a finite dimensional CW-complex, <italic>X</italic>, and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="q greater-than 1"> <mml:semantics> <mml:mrow> <mml:mi>q</mml:mi> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">q > 1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, it is shown that the <italic>q</italic>th Čech cohomology group based on finite open covers of <italic>X</italic>, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H Subscript …