Section Problems for Graph Configuration Spaces
We consider, for a finite graph $G$, when the surjective map $\mathrm{Conf}_{n+1}(G) \rightarrow \mathrm{Conf}_n(G)$ of configuration spaces admits a section. We study when the answer depends only on the homotopy type of $G$, and give a complete answer. We also provide basic techniques for construct...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Bauman, Alexander |
| description | We consider, for a finite graph $G$, when the surjective map
$\mathrm{Conf}_{n+1}(G) \rightarrow \mathrm{Conf}_n(G)$ of configuration spaces
admits a section. We study when the answer depends only on the homotopy type of
$G$, and give a complete answer. We also provide basic techniques for
construction of sections. |
| doi_str_mv | 10.48550/arxiv.2011.12371 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2011_12371</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2011_12371</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-48cb08b646c8a899a38100ec4ab715eae0344c78ae1e409770b33cd95168064b3</originalsourceid><addsrcrecordid>eNotzs1qwkAUhuHZuBDbC3BlbiDxHOc3yxJsLAQq6D6cGU80kJgwaUt798W0q2_z8vEIsUbIlNMathS_269sB4gZ7qTFpdieOHy0wz05xsF33E9JM8SkjDTekmK4N-31M9IcnEYKPD2JRUPdxM__uxLn1_25OKTVe_lWvFQpGYupcsGD80aZ4MjlOUmHABwUeYuaiUEqFawjRlaQWwteynDJNRoHRnm5Epu_21lcj7HtKf7UD3k9y-Uvq1U8rw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Section Problems for Graph Configuration Spaces</title><source>arXiv.org</source><creator>Bauman, Alexander</creator><creatorcontrib>Bauman, Alexander</creatorcontrib><description>We consider, for a finite graph $G$, when the surjective map
$\mathrm{Conf}_{n+1}(G) \rightarrow \mathrm{Conf}_n(G)$ of configuration spaces
admits a section. We study when the answer depends only on the homotopy type of
$G$, and give a complete answer. We also provide basic techniques for
construction of sections.</description><identifier>DOI: 10.48550/arxiv.2011.12371</identifier><language>eng</language><subject>Mathematics - General Topology ; Mathematics - Geometric Topology</subject><creationdate>2020-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2011.12371$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2011.12371$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bauman, Alexander</creatorcontrib><title>Section Problems for Graph Configuration Spaces</title><description>We consider, for a finite graph $G$, when the surjective map
$\mathrm{Conf}_{n+1}(G) \rightarrow \mathrm{Conf}_n(G)$ of configuration spaces
admits a section. We study when the answer depends only on the homotopy type of
$G$, and give a complete answer. We also provide basic techniques for
construction of sections.</description><subject>Mathematics - General Topology</subject><subject>Mathematics - Geometric Topology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzs1qwkAUhuHZuBDbC3BlbiDxHOc3yxJsLAQq6D6cGU80kJgwaUt798W0q2_z8vEIsUbIlNMathS_269sB4gZ7qTFpdieOHy0wz05xsF33E9JM8SkjDTekmK4N-31M9IcnEYKPD2JRUPdxM__uxLn1_25OKTVe_lWvFQpGYupcsGD80aZ4MjlOUmHABwUeYuaiUEqFawjRlaQWwteynDJNRoHRnm5Epu_21lcj7HtKf7UD3k9y-Uvq1U8rw</recordid><startdate>20201124</startdate><enddate>20201124</enddate><creator>Bauman, Alexander</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201124</creationdate><title>Section Problems for Graph Configuration Spaces</title><author>Bauman, Alexander</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-48cb08b646c8a899a38100ec4ab715eae0344c78ae1e409770b33cd95168064b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - General Topology</topic><topic>Mathematics - Geometric Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Bauman, Alexander</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bauman, Alexander</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Section Problems for Graph Configuration Spaces</atitle><date>2020-11-24</date><risdate>2020</risdate><abstract>We consider, for a finite graph $G$, when the surjective map
$\mathrm{Conf}_{n+1}(G) \rightarrow \mathrm{Conf}_n(G)$ of configuration spaces
admits a section. We study when the answer depends only on the homotopy type of
$G$, and give a complete answer. We also provide basic techniques for
construction of sections.</abstract><doi>10.48550/arxiv.2011.12371</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2011.12371 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2011_12371 |
| source | arXiv.org |
| subjects | Mathematics - General Topology Mathematics - Geometric Topology |
| title | Section Problems for Graph Configuration Spaces |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T22%3A10%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Section%20Problems%20for%20Graph%20Configuration%20Spaces&rft.au=Bauman,%20Alexander&rft.date=2020-11-24&rft_id=info:doi/10.48550/arxiv.2011.12371&rft_dat=%3Carxiv_GOX%3E2011_12371%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |