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dc.contributor.authorBlagojević, Pavleen
dc.contributor.authorGrujić, Vladimiren
dc.contributor.authorŽivaljević, Radeen
dc.date.accessioned2020-04-12T18:03:58Z-
dc.date.available2020-04-12T18:03:58Z-
dc.date.issued2005-02-28en
dc.identifier.issn0166-8641en
dc.description.abstractWe study the combinatorics and topology of general arrangements of sub-spaces of the form D + SP n-d (X) in symmetric products SP n (X) where D ∈ SP d (X). Symmetric products SP m (X) : = X m /S m , also known as the spaces of effective "divisors" of order m, together with their companion spaces of divisors/particles, have been studied from many points of view in numerous papers, see [P. Blagojević et al., in: B. Dragović, B. Sazdović (Eds.) Summer School in Modern Mathematical Physics, 2004, math.AT/0408417; S. Kallel, Trans. Amer. Math. Soc. 350 (1998), 1350] for the references. In this paper we approach them from the point of view of geometric combinatorics. Using the topological technique of diagrams of spaces along the lines of [V. Welker et al., J. Reine Angew. Math. 509 (1999), 117; G.M. Ziegler, R.T. Živaljević, Math. Ann. 295 (1993) 527] we calculate the homology of the union and the complement of these arrangements. As an application we include a computation of the homology of the homotopy end space of the open manifold SP n (M g,k ), where M g,k is a Riemann surface of genus g punctured at k points, a problem which was originally motivated by the study of commutative (m + k, m)-groups [K. Trenčevski, D. Dimovski, J. Algebra 240 (2001) 338].en
dc.publisherElsevier-
dc.relationSerbian Ministry of Science, Technology and Development, Grant no. 1643-
dc.relationGeometry and Topology of Manifolds and Integrable Dynamical Systems-
dc.relation.ispartofTopology and its Applicationsen
dc.subjectDiagrams of spaces | End spaces | Homotopy colimits | Symmetric productsen
dc.titleArrangements of symmetric products of spacesen
dc.typeArticleen
dc.identifier.doi10.1016/j.topol.2004.09.001en
dc.identifier.scopus2-s2.0-13644278906en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage213en
dc.relation.lastpage232en
dc.relation.issue1-3en
dc.relation.volume148en
dc.description.rankM23-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextnone-
crisitem.author.orcid0000-0003-3649-9897-
crisitem.author.orcid0000-0001-9801-8839-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/projects/1643e.htm-
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