DC Element | Wert | Sprache |
dc.contributor.author | SCHWANZL, R | |
dc.contributor.author | VOGT, RM | |
dc.date.accessioned | 2021-12-23T15:57:02Z | - |
dc.date.available | 2021-12-23T15:57:02Z | - |
dc.date.issued | 1994 | |
dc.identifier.issn | 00029947 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/2676 | - |
dc.description.abstract | Using the language of category theory and universal algebra we formalize the passage from the permutative category of finitely generated free R-modules to the algebraic K-theory KR of R and thus make it applicable to homotopy ring spaces. As applications we construct a Waldhausen type of algebraic K-theory for arbitrary homotopy ring spaces, show its equivalence with constructions of May and Steiner prove its Morita invariance and show that the algebraic K-theory KX of an E(infinity) ring X is itself an E(infinity) ring. Finally we investigate the monomial map Q(BX+*) --> KX. | |
dc.language.iso | en | |
dc.publisher | AMER MATHEMATICAL SOC | |
dc.relation.ispartof | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | |
dc.subject | CATEGORIES | |
dc.subject | GAMMA-SPACES | |
dc.subject | Mathematics | |
dc.title | BASIC CONSTRUCTIONS IN THE K-THEORY OF HOMOTOPY RING SPACES | |
dc.type | journal article | |
dc.identifier.doi | 10.2307/2154572 | |
dc.identifier.isi | ISI:A1994MX74500004 | |
dc.description.volume | 341 | |
dc.description.issue | 2 | |
dc.description.startpage | 549 | |
dc.description.endpage | 584 | |
dc.identifier.eissn | 10886850 | |
dc.publisher.place | 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA | |
dcterms.isPartOf.abbreviation | Trans. Am. Math. Soc. | |