This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representa…
The theory of algebraic cycles encompasses central problems in mathematics such as the Hodge conjecture and the Bloch-Kato conjecture on special values of zeta functions. In this book, Spencer Bloch explains the guiding philosophy of algebraic cycles and motives.