{"id":"https://openalex.org/W4412995627","doi":"https://doi.org/10.3390/axioms14080606","title":"Injective Hulls of Infinite Totally Split-Decomposable Metric Spaces","display_name":"Injective Hulls of Infinite Totally Split-Decomposable Metric Spaces","publication_year":2025,"publication_date":"2025-08-04","ids":{"openalex":"https://openalex.org/W4412995627","doi":"https://doi.org/10.3390/axioms14080606"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14080606","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080606","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14080606","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076362728","display_name":"Ma\u00ebl Pav\u00f3n","orcid":"https://orcid.org/0000-0002-4998-4501"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Ma\u00ebl Pav\u00f3n","raw_affiliation_strings":["Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076362728"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28485908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"8","first_page":"606","last_page":"606"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7554144859313965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.712151050567627},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.6507412791252136},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5513297915458679},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5350958108901978},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4298446774482727},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41809260845184326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3875538408756256},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08345994353294373},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05986878275871277}],"concepts":[{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7554144859313965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.712151050567627},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.6507412791252136},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5513297915458679},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5350958108901978},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4298446774482727},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41809260845184326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3875538408756256},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08345994353294373},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05986878275871277},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14080606","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080606","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:273d2f6b36684aa0b4ab4f43766c7cc5","is_oa":true,"landing_page_url":"https://doaj.org/article/273d2f6b36684aa0b4ab4f43766c7cc5","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 8, p 606 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14080606","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080606","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4935870134","display_name":null,"funder_award_id":"153309","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1535261556","https://openalex.org/W1985643504","https://openalex.org/W1998867815","https://openalex.org/W2020176431","https://openalex.org/W2021905747","https://openalex.org/W2050222624","https://openalex.org/W2071211665","https://openalex.org/W2072715813","https://openalex.org/W2094731111","https://openalex.org/W2134086356","https://openalex.org/W2166838615","https://openalex.org/W2346912542","https://openalex.org/W2963061705","https://openalex.org/W2963421442","https://openalex.org/W4210631977","https://openalex.org/W4236305466","https://openalex.org/W4388875888","https://openalex.org/W6779616986"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2467926385","https://openalex.org/W2893068807","https://openalex.org/W161301265","https://openalex.org/W2483619716","https://openalex.org/W4246461909","https://openalex.org/W2377576908","https://openalex.org/W2971424936","https://openalex.org/W2007256320","https://openalex.org/W2991249704"],"abstract_inverted_index":{"We":[0],"extend":[1],"the":[2,20,35,51,66,69,84,129,138,144],"theory":[3,71],"of":[4,22,39,68,87,103,140,161],"splits":[5,131],"in":[6,77,98],"finite":[7],"metric":[8,90,125],"spaces":[9,23,91],"to":[10,54,58,168],"infinite":[11],"ones.":[12],"Within":[13],"this":[14,44],"more":[15],"general":[16],"framework,":[17],"we":[18,46,107,153],"investigate":[19],"class":[21],"having":[24],"metrics":[25],"that":[26,158],"are":[27,164],"integer-valued":[28],"and":[29,75,96,126],"totally":[30,88,122],"split-decomposable,":[31],"as":[32,34,79,81,155],"well":[33,80],"polyhedral":[36],"complex":[37],"structure":[38],"their":[40],"injective":[41,52,159],"hulls.":[42],"For":[43],"class,":[45],"provide":[47],"a":[48,59,121,133],"characterization":[49],"for":[50,115,127],"hull":[53],"be":[55],"combinatorially":[56],"equivalent":[57],"CAT(0)":[60,112,169],"cube":[61,113,170],"complex.":[62],"Intermediate":[63],"results":[64,82,102],"include":[65],"generalization":[67],"decomposition":[70],"introduced":[72],"by":[73,93],"Bandelt":[74],"Dress":[76],"1992":[78],"on":[83,111],"tight":[85],"span":[86],"split-decomposable":[89,123],"proved":[92],"Huber,":[94],"Koolen,":[95],"Moulton":[97],"2006.":[99],"Next,":[100],"using":[101],"Lang":[104],"from":[105],"2013,":[106],"obtain":[108,154],"proper":[109,149],"actions":[110],"complexes":[114,166],"finitely":[116],"generated":[117],"groups":[118],"endowed":[119],"with":[120],"word":[124],"which":[128],"associated":[130],"satisfy":[132],"simple":[134],"combinatorial":[135],"property.":[136],"In":[137],"case":[139],"Gromov":[141],"hyperbolic":[142],"groups,":[143],"obtained":[145],"action":[146],"is":[147],"both":[148],"aand":[150],"co-compact.":[151],"Finally,":[152],"an":[156],"application":[157],"hulls":[160],"odd":[162],"cycles":[163],"cell":[165],"isomorphic":[167],"complexes.":[171]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}