TY - JOUR

T1 - A Converse of the Borel Formula

AU - Dotzel, Ronald M.

N1 - Our mission is to further the interests of mathematical research, scholarship and education.

PY - 1979/1/6

Y1 - 1979/1/6

N2 - When an elementary Abelian p-group acts on a Z_p-homology sphere (p a prime), it is known that the Borel formula must hold. Here we ask that the Borel formula hold and determine how this restricts, homologically, the type of space which can occur, assuming spherical fixed sets and connectedness. This is done by constructing a linear model of the action and an equivariant map to the model, the mapping cone of which yields certain homological information.

AB - When an elementary Abelian p-group acts on a Z_p-homology sphere (p a prime), it is known that the Borel formula must hold. Here we ask that the Borel formula hold and determine how this restricts, homologically, the type of space which can occur, assuming spherical fixed sets and connectedness. This is done by constructing a linear model of the action and an equivariant map to the model, the mapping cone of which yields certain homological information.

UR - http://www.ams.org/journals/tran/1979-250-00/S0002-9947-1979-0530056-0/home.html

U2 - 10.1090/S0002-9947-1979-0530056-0

DO - 10.1090/S0002-9947-1979-0530056-0

M3 - Article

VL - 250

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -