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Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Rev.colomb.mat. vol.46 no.2 Bogotá jul./dic. 2012
1Universidad de Antioquia, Medellín, Colombia. Email: sharmaudea@gmail.com
Pedersen-Weibel introduced the notion of bounded category of an additive category, which gives the non-connective delooping of the additive category under consideration. In this work, a possible candidate for the bounded category of an exact category is constructed which shares many properties of the bounded categories of Pedersen-Weibel.
Key words: Delooping, Exact Category, Pedersen-Weibel, Bounded Category, Negative K-theory.
2000 Mathematics Subject Classification: 18E10, 18F25, 19D35.
Pedersen-Weibel introducen la noción de categoría limitada de una categoría aditiva, la cual da el "non-connective delooping" de la categoría aditiva en consideración. En este trabajo, se construye un posible candidato para la categoría limitada de una categoría exacta el cual posee muchas de las propiedades de las categorías limitadas de Pedersen-Weibel.
Palabras clave: Delooping, Categoría exacta, Pedersen-Weibel, Categoría limitada, K-teoría negativa.
Texto completo disponible en PDF
References
[1] H. Bass, Algebraic K-Theory, W. A. Benjamin, Inc., New York, USA, [ Links ] 1968.
[2] G. Carlsson, 'Bounded K-Theory and the Assembly Map in Algebraic K-Theory', London Math. Soc. Lecture Note Ser. 227, (1995), 5-127. Ferry, Steven C. (ed.) et al., Novikov conjectures, index theorems and rigidity. Vol. 2. Based on a conference of the Mathematisches Forschungsinstitut Oberwolfach in September 1993. Cambridge: Cambridge University Press. [ Links ]
[3] G. Carlsson and B. Goldfarb, 'Controlled Algebraic G-Theory, I', J. Homotopy Relat. Struct. 6, 1 (2011), 119-159. [ Links ]
[4] P. Freyd, Abelian Categories. An Introduction to the Theory of Functors, Harper's Series in Modern Mathematics, Harper & Row Publishers, New York, USA, [ Links ] 1964.
[5] B. Keller, 'Chain Complexes and Stable Categories', Manuscripta Math. 67, 4 (1990), 379-417. [ Links ]
[6] E. K. Pedersen and C. A. Weibel, A Nonconnective Delooping of Algebraic K-Theory, 'Algebraic and Geometric Topology', (1985), Vol. 1126, Springer, Lecture Notes in Math., New Brunswick, USA, p. 166-181. [ Links ]
[7] E. K. Pedersen and C. A. Weibel, K-Theory Homology of Spaces, 'Algebraic Topology', (1986), Vol. 1370, Springer, Lecture Notes in Math., Arcata, USA, p. 346-361. [ Links ]
[8] D. Quillen, Higher Algebraic K-Theory. I, 'Algebraic K-Theory, I: Higher K-Theories', (1973), Vol. 341 of Lecture Notes in Math., Springer, Seattle, USA, p. 85-147. [ Links ]
[9] M. Schlichting, 'Delooping the K-Theory of Exact Categories', Topology 43, 5 (2004), 1089-1103. [ Links ]
[10] R. W. Thomason and T. Trobaugh, Higher Algebraic K-Theory of Schemes And of Derived Categories, 'The Grothendieck Festschrift, Vol. III', (1990), Vol. 88 of Progr. Math., Birkhäuser Boston, Boston, USA, p. 247-435. [ Links ]
[11] F. Waldhausen, Algebraic K-Theory of Spaces, 'Algebraic and Geometric Topology', (1985), Vol. 1126 of Lecture Notes in Math., Springer, New Brunswick, USA, p. 318-419. [ Links ]
Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv46n2a03,
AUTHOR = {Pallekonda, Seshendra},
TITLE = {{Bounded Category of an Exact Category}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2012},
volume = {46},
number = {2},
pages = {145--166}
}