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Relevant bibliographies by topics / Eilenberg-MacLane spaces

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Academic literature on the topic 'Eilenberg-MacLane spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Eilenberg-MacLane spaces"

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Voevodsky, Vladimir. "Motivic Eilenberg-MacLane spaces." Publications mathématiques de l'IHÉS 112, no. 1 (2010): 1–99. http://dx.doi.org/10.1007/s10240-010-0024-9.

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BROTO, CARLES, JUAN A. CRESPO, and LAIA SAUMELL. "Non-simply connected H-spaces with finiteness conditions." Mathematical Proceedings of the Cambridge Philosophical Society 130, no. 3 (2001): 475–88. http://dx.doi.org/10.1017/s0305004101005023.

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This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH*(X; [ ]p). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH*(X; [ ]p) are Bℤ/p-null spaces, Eilenberg–MacLane spaces K(ℤˆp, 2), K(ℤ/pr, 1), and extensions of those. If we restrict attention to H-spaces with noetherian mod p cohomology algebra, then we are left with finite mod p H-spaces and Eilenberg–MacLane spaces.

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Slack, Michael. "Infinite loop spaces with trivial Dyer-Lashof operations." Mathematical Proceedings of the Cambridge Philosophical Society 113, no. 2 (1993): 311–28. http://dx.doi.org/10.1017/s0305004100075988.

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AbstractLet p be any prime. It is well known that the modp Dyer-Lashof algebra acts trivially on the mod p homology of an Eilenberg-MacLane space. The main result of this paper is a converse of this fact. Specifically, it is shown that any connected infinite loop space with trivial action of the mod p Dyer-Lashof algebra is (localized at p) homotopy equivalent to a product of Eilenberg-MacLane spaces. It is then shown that this equivalence does not necessarily respect the infinite loop structures involved.

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Svensson, Jan-alve. "Equivariant Eilenberg-MacLane spaces of type 1." MATHEMATICA SCANDINAVICA 68 (December 1, 1991): 19. http://dx.doi.org/10.7146/math.scand.a-12342.

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Hamilton, Martin. "Finitary group cohomology and Eilenberg-MacLane spaces." Bulletin of the London Mathematical Society 41, no. 5 (2009): 782–94. http://dx.doi.org/10.1112/blms/bdp028.

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Farber, Michael, and Stephan Mescher. "On the topological complexity of aspherical spaces." Journal of Topology and Analysis 12, no. 02 (2018): 293–319. http://dx.doi.org/10.1142/s1793525319500511.

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The well-known theorem of Eilenberg and Ganea [Ann. Math. 65 (1957) 517–518] expresses the Lusternik–Schnirelmann category of an Eilenberg–MacLane space [Formula: see text] as the cohomological dimension of the group [Formula: see text]. In this paper, we study a similar problem of determining algebraically the topological complexity of the Eilenberg–MacLane spaces [Formula: see text]. One of our main results states that in the case when the group [Formula: see text] is hyperbolic in the sense of Gromov, the topological complexity [Formula: see text] either equals or is by one larger than the

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Krčál, Marek, Jiří Matoušek, and Francis Sergeraert. "Polynomial-Time Homology for Simplicial Eilenberg–MacLane Spaces." Foundations of Computational Mathematics 13, no. 6 (2013): 935–63. http://dx.doi.org/10.1007/s10208-013-9159-7.

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Lee, Chun-Nip. "On Stable Maps From Eilenberg-Maclane Spaces to Classifying Spaces." American Journal of Mathematics 114, no. 2 (1992): 405. http://dx.doi.org/10.2307/2374709.

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9

Kitchloo, Nitu, Vitaly Lorman та W. Stephen Wilson. "The ER(z)-cohomology of Bℤ/(2q) and ℂℙn". Canadian Journal of Mathematics 70, № 1 (2018): 191–217. http://dx.doi.org/10.4153/cjm-2017-003-5.

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AbstractThe ER(2)-cohomology of Bℤ/(2q) and ℂℙn are computed along with the Atiyah–Hirzebruch spectral sequence for ER(2)*(ℂℙ∞). This, along with other papers in this series, gives us the ER(2)-cohomology of all Eilenberg–MacLane spaces.

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Tamanoi, Hirotaka. "L-subalgebras, Milnor basis, and cohomology of Eilenberg-MacLane spaces." Journal of Pure and Applied Algebra 137, no. 2 (1999): 153–98. http://dx.doi.org/10.1016/s0022-4049(97)00177-1.

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Dissertations / Theses on the topic "Eilenberg-MacLane spaces"

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Meneguesso, Évelin [UNESP]. "Algumas considerações sobre Espaços de Eilenberg." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/94232.

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Made available in DSpace on 2014-06-11T19:26:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-03-20Bitstream added on 2014-06-13T18:47:49Z : No. of bitstreams: 1 meneguesso_e_me_sjrp.pdf: 1062856 bytes, checksum: bda0bf2d8904199e8ddf38065e4a5410 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo principal deste trabalho é mostrar a existência dos complexos de Eilenberg-MacLane, ou K(G, n)-espaços (como são comumente chamados), para G um grupo arbitrþario se n = 1, e G abeliano, se n = 2. Esses espaicos desempenham um papel muito importante n

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Meneguesso, Évelin. "Algumas considerações sobre Espaços de Eilenberg /." São José do Rio Preto : [s.n.], 2007. http://hdl.handle.net/11449/94232.

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Orientador: Ermínia de Lourdes Campello Fanti<br>Banca: Tomas Edson Barros<br>Banca: Maria Gorete Carreira Andrade<br>Resumo: O objetivo principal deste trabalho é mostrar a existência dos complexos de Eilenberg-MacLane, ou K(G, n)-espaços (como são comumente chamados), para G um grupo arbitrþario se n = 1, e G abeliano, se n = 2. Esses espaicos desempenham um papel muito importante na Topologia Algébrica, principalmente na conexão entre homotopia e (co)homologia<br>Abstract: The main purpose of this work is to show the existence of the Eilenberg- Maclaneþs complexes, or K(G, n)-spaces (as the

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Bonatto, Luciana Basualdo. "Bott\'s periodicity theorem from the algebraic topology viewpoint." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-17112017-130250/.

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In 1970, Raoul Bott published The Periodicity Theorem for the Classical Groups and Some of Its Applications, in which he uses this famous result as a guideline to present some important areas and tools of Algebraic Topology. This dissertation aims to use the path Bott presented in his article as a guideline to address certain topics on Algebraic Topology. We start this incursion developing important tools used in Homotopy Theory such as spectral sequences and Eilenberg-MacLane spaces, exploring how they can be combined to aid in computation of homotopy groups. We then study important results

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Maríngolo, Fernanda Palhares. "Grupo de tranças e espaços de configurações." Universidade Federal de São Carlos, 2007. https://repositorio.ufscar.br/handle/ufscar/5847.

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Made available in DSpace on 2016-06-02T20:28:22Z (GMT). No. of bitstreams: 1 DissFPM.pdf: 979275 bytes, checksum: 1b13e7e3772ecbeac26224804b180369 (MD5) Previous issue date: 2007-06-27<br>Universidade Federal de Sao Carlos<br>In this work, we study the Artin braid group, B(n), and the confguration spaces (ordered and unordered) of a path connected manifold of dimension ¸ 2. The fundamental group of confguration space (unordered) of IR2 is identifed with the Artin braid group. This identifcation is used to conclude that the confguration space of IR2 is an Eilenberg-MacLane space of type K(B(n

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Book chapters on the topic "Eilenberg-MacLane spaces"

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Adhikari, Mahima Ranjan. "Eilenberg–MacLane Spaces." In Basic Algebraic Topology and its Applications. Springer India, 2016. http://dx.doi.org/10.1007/978-81-322-2843-1_11.

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Davis, James, and Paul Kirk. "Obstruction theory and Eilenberg-MacLane spaces." In Lecture Notes in Algebraic Topology. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/035/07.

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "Singular chains, homology and Eilenberg- MacLane spaces." In Graduate Texts in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_5.

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Griffiths, Phillip, and John Morgan. "Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations." In Rational Homotopy Theory and Differential Forms. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8468-4_7.

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5

Kuhn, Nicholas J. "New relationships among loopspaces, symmetric products, and Eilenberg Maclane spaces." In Cohomological Methods in Homotopy Theory. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8312-2_14.

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Conference papers on the topic "Eilenberg-MacLane spaces"

1

Licata, Daniel R., and Eric Finster. "Eilenberg-MacLane spaces in homotopy type theory." In CSL-LICS '14: JOINT MEETING OF the Twenty-Third EACSL Annual Conference on COMPUTER SCIENCE LOGIC. ACM, 2014. http://dx.doi.org/10.1145/2603088.2603153.

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