On K₁ of an exact category

Authors

Clayton C. Sherman, Missouri State UniversityFollow

Abstract

We prove that, for any exact category M, any element of K1(M) can be described in terms of a pair of admissible monomorphisms A→ X, B→ Y and an isomorphism Θ: A ⊕ X/A ⊕ Y → B ⊕ Y/B ⊕ X. © 1998 Kluwer Academic Publishers.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1023/A:1007718422686

Keywords

Categories, Geometric representations, Homotopy

Publication Date

1-1-1998

Recommended Citation

Sherman, Clayton. "On K₁ of an Exact Category" K-Theory 14, no. 1 (1998): 1-22.

Journal Title

K-Theory