Multi-relative K-groups and cycle class map

We discuss a model of multi-relative K-theory. We prove various properties of multi-relative K-theory groups, including projection formula. Using these, we prove that the cycle class map defined by Gupta-Krishna coincides, on generators, with that of Binda.

Automated summary

This paper discusses a model of multi-relative K-theory and proves various properties of multi-relative K-theory groups, including the projection formula. Using these properties, it is shown that the cycle class map defined by Gupta-Krishna coincides, on generators, with that of Binda.