SOME EXAMPLES OF RELATIONS BETWEEN NON-STABLE INTEGRAL COHOMOLOGY OPERATIONS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 47, Issue 2, 2010, pp.275-286
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2010.47.2.275

Title & Authors

SOME EXAMPLES OF RELATIONS BETWEEN NON-STABLE INTEGRAL COHOMOLOGY OPERATIONS

Percy, Andrew;

Percy, Andrew;

Abstract

The algebraic structure of the natural integral cohomology operations is explored by means of examples. We decompose the generators of the groups with and into the operations of cup products, cross-cap products and compositions. Examination of these decompositions and comparison with other possible generators demonstrates the existence of relations between integral operations that have withheld formulation. The calculated groups and generators are collected in a table for practical reference.

Keywords

integral cohomology operation;relations;

Language

English

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