On Ring Structures Under Strong Cup Products |
| |
| Authors: | Dae-Woong Lee |
| |
| Affiliation: | 1. Department of Mathematics, and Institute of Pure and Applied Mathematics , Chonbuk National University , Jeonju, Jeonbuk, South Korea dwlee@jbnu.ac.kr |
| |
| Abstract: | Can we construct a strong s-stage cohomology ring on inverse systems? The following statements show the answer to this question: After defining a strong cup product, we construct a ring structure with right identity under strong cup product and obtain a strong cup product preserving homomorphism induced by a rigid system map on the level of strong s-stage cochain groups. On the other hand, we show that the coboundary formula for strong s-stage cochains does not hold. |
| |
| Keywords: | Rigid system map Strong cup product Strong (s-stage) homology |
|
|
