| Abstract: | This paper is devoted to the development of the apparatus of Smith theory. In it we introduce operations  and  and also Poincare duality, which have not been considered previously. New connections are established between specific objects of Smith theory and objects of ordinary homology theory. The account is given for the case of a simplicial action on a finite simplicial space, the proofs are given briefly, most intermediate calculations are omitted.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 122, pp. 17–23, 1982. |
