Categorical Decomposition Techniques in Algebraic Topology: International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2004
|
| Series: | Progress in Mathematics
215 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The current volume constitutes the proceedings of the International Conference in Algebraic Topology, held on the Isle of Skye, Scotland in June 200l. Many of the the talks at the conference focused on categorical decomposition techniques currently used in algebraic topology, such as Goodwillie's "calculus of functors" and the various approximation techniques that have proved so useful for the study of classifying spaces. The contents represent these, and other themes in algebraic toplogy, as they are being developed by experts in the field. For instance, the homotopy theory of classifying spaces is represented by the articles of Aguade-Broto-Saumell, Davis and Iwase-Mimura. The papers by Betley, Kuhn and Panov-Ray-Vogt deal with general categorical decomposition techniques. The papers of Anton, Goerss-Henn Mahowald and Hodgkin-Ostvaer bring us to the forefront of computational homo topy theory. Other papers deal with assorted topics of current interest in algebraic topology. Progress in Mathematics, Vol. 215 Algebraic Topology: Categorical Decomposition Techniques, 1-20 © 2003 Birkhiiuser Verlag Basel/Switzerland The Functor T and the Cohomology of Mapping Spaces Jaume Aguade, Carles Broto, and Laia Saumell 1. Introduction In his fundamental work [15] Lannes has introduced a functor T defined in the category K (resp. U) of unstable algebras (resp. modules) over the Steenrod algebra which has many important applications in homotopy theory. This functor is, in some sense, the algebraic analogue of the mapping space functor Map(BV, -) for an elementary abelian group V. |
| Physical Description: | 1 Online-Ressource (VII, 304 p) |
| ISBN: | 9783034878630 9783034896016 |
| DOI: | 10.1007/978-3-0348-7863-0 |
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| spelling | Arone, Gregory Verfasser aut Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 edited by Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss Basel Birkhäuser Basel 2004 1 Online-Ressource (VII, 304 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 215 The current volume constitutes the proceedings of the International Conference in Algebraic Topology, held on the Isle of Skye, Scotland in June 200l. Many of the the talks at the conference focused on categorical decomposition techniques currently used in algebraic topology, such as Goodwillie's "calculus of functors" and the various approximation techniques that have proved so useful for the study of classifying spaces. The contents represent these, and other themes in algebraic toplogy, as they are being developed by experts in the field. For instance, the homotopy theory of classifying spaces is represented by the articles of Aguade-Broto-Saumell, Davis and Iwase-Mimura. The papers by Betley, Kuhn and Panov-Ray-Vogt deal with general categorical decomposition techniques. The papers of Anton, Goerss-Henn Mahowald and Hodgkin-Ostvaer bring us to the forefront of computational homo topy theory. Other papers deal with assorted topics of current interest in algebraic topology. Progress in Mathematics, Vol. 215 Algebraic Topology: Categorical Decomposition Techniques, 1-20 © 2003 Birkhiiuser Verlag Basel/Switzerland The Functor T and the Cohomology of Mapping Spaces Jaume Aguade, Carles Broto, and Laia Saumell 1. Introduction In his fundamental work [15] Lannes has introduced a functor T defined in the category K (resp. U) of unstable algebras (resp. modules) over the Steenrod algebra which has many important applications in homotopy theory. This functor is, in some sense, the algebraic analogue of the mapping space functor Map(BV, -) for an elementary abelian group V. Mathematics Algebra Algebraic topology Algebraic Topology Category Theory, Homological Algebra Mathematik Hubbuck, John Sonstige oth Levi, Ran Sonstige oth Weiss, Michael Sonstige oth https://doi.org/10.1007/978-3-0348-7863-0 Verlag Volltext |
| spellingShingle | Arone, Gregory Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 Mathematics Algebra Algebraic topology Algebraic Topology Category Theory, Homological Algebra Mathematik |
| title | Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 |
| title_auth | Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 |
| title_exact_search | Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 |
| title_full | Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 edited by Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss |
| title_fullStr | Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 edited by Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss |
| title_full_unstemmed | Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 edited by Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss |
| title_short | Categorical Decomposition Techniques in Algebraic Topology |
| title_sort | categorical decomposition techniques in algebraic topology international conference in algebraic topology isle of skye scotland june 2001 |
| title_sub | International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 |
| topic | Mathematics Algebra Algebraic topology Algebraic Topology Category Theory, Homological Algebra Mathematik |
| topic_facet | Mathematics Algebra Algebraic topology Algebraic Topology Category Theory, Homological Algebra Mathematik |
| url | https://doi.org/10.1007/978-3-0348-7863-0 |
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