Brown representability often fails for homotopy categories of complexes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10130574" target="_blank" >RIV/00216208:11320/12:10130574 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/is011010026jkt167" target="_blank" >http://dx.doi.org/10.1017/is011010026jkt167</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/is011010026jkt167" target="_blank" >10.1017/is011010026jkt167</a>

Result language
angličtina
Original language name
Brown representability often fails for homotopy categories of complexes
Original language description
We show that for the homotopy category K(Ab) of complexes of abelian groups, both Brown representability and Brown representability for the dual fail. We also provide an example of a localizing subcategory of K(Ab) for which the inclusion into K(Ab) doesnot have a right adjoint.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GPP201%2F10%2FP084" target="_blank" >GPP201/10/P084: Modern homological algebra and geometry in representation theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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