{"id":"https://openalex.org/W4313495208","doi":"https://doi.org/10.1090/mcom/3819","title":"Construction of polynomial preserving cochain extensions by blending","display_name":"Construction of polynomial preserving cochain extensions by blending","publication_year":2023,"publication_date":"2023-01-04","ids":{"openalex":"https://openalex.org/W4313495208","doi":"https://doi.org/10.1090/mcom/3819"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3819","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3819","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10852/105652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001192314","display_name":"Richard S. Falk","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard Falk","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007725533","display_name":"Ragnar Winther","orcid":"https://orcid.org/0000-0001-6749-6619"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Ragnar Winther","raw_affiliation_strings":["Department of Mathematics, University of Oslo, 0316 Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Oslo, 0316 Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001192314"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00678914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"92","issue":"342","first_page":"1575","last_page":"1594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9983000159263611,"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":0.9983000159263611,"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/annotation","display_name":"Annotation","score":0.6653574705123901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6207823753356934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4528227746486664},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4489252269268036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43665817379951477},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4319709539413452},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4225611686706543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3298296332359314},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13934555649757385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0866299569606781}],"concepts":[{"id":"https://openalex.org/C2776321320","wikidata":"https://www.wikidata.org/wiki/Q857525","display_name":"Annotation","level":2,"score":0.6653574705123901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6207823753356934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4528227746486664},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4489252269268036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43665817379951477},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4319709539413452},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4225611686706543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3298296332359314},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13934555649757385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0866299569606781},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3819","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3819","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:www.duo.uio.no:10852/105652","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/105652","pdf_url":null,"source":{"id":"https://openalex.org/S4306401717","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0025-5718","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.duo.uio.no:10852/105652","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/105652","pdf_url":null,"source":{"id":"https://openalex.org/S4306401717","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0025-5718","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3691759950","display_name":null,"funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1566704245","https://openalex.org/W1963762897","https://openalex.org/W1969923739","https://openalex.org/W1971409998","https://openalex.org/W1982316836","https://openalex.org/W2006286592","https://openalex.org/W2009828489","https://openalex.org/W2021544085","https://openalex.org/W2024450465","https://openalex.org/W2056040698","https://openalex.org/W2058111044","https://openalex.org/W2068693617","https://openalex.org/W2088259936","https://openalex.org/W2089907194","https://openalex.org/W2091656188","https://openalex.org/W2094412700","https://openalex.org/W2131341034","https://openalex.org/W2138486270","https://openalex.org/W2164402335","https://openalex.org/W2170299747","https://openalex.org/W3103476862","https://openalex.org/W3213904993","https://openalex.org/W4240668518","https://openalex.org/W4251945824","https://openalex.org/W4255374928"],"related_works":["https://openalex.org/W2361861616","https://openalex.org/W2263699433","https://openalex.org/W2377979023","https://openalex.org/W2218034408","https://openalex.org/W2392921965","https://openalex.org/W2358755282","https://openalex.org/W2625833328","https://openalex.org/W1533177136","https://openalex.org/W4380994516","https://openalex.org/W2556260348"],"abstract_inverted_index":{"A":[0],"classical":[1],"technique":[2],"to":[3,30,34,46,52,87],"construct":[4],"polynomial":[5,61],"preserving":[6,62],"extensions":[7,63,106],"of":[8,15,42,67,84],"scalar":[9],"functions":[10],"defined":[11,80,100],"on":[12,81],"the":[13,31,48,53,82,85,102,105,114],"boundary":[14,83],"an":[16],"<inline-formula":[17,68,88],"content-type=\"math/mathml\">":[18,69,89],"<mml:math":[19,70,90],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,71,91],"alttext=\"n\">":[21],"<mml:semantics>":[22,73,93],"<mml:mi>n</mml:mi>":[23],"<mml:annotation":[24,75,95],"encoding=\"application/x-tex\">n</mml:annotation>":[25],"</mml:semantics>":[26,77,97],"</mml:math>":[27,78,98],"</inline-formula>":[28],"simplex":[29,86],"interior":[32],"is":[33,45],"use":[35],"so-called":[36],"rational":[37],"blending":[38,51],"functions.":[39],"The":[40],"purpose":[41],"this":[43],"paper":[44],"generalize":[47],"construction":[49],"by":[50],"de":[54],"Rham":[55],"complex.":[56],"More":[57],"precisely,":[58],"we":[59],"define":[60],"which":[64],"map":[65],"traces":[66],"alttext=\"k\">":[72,92],"<mml:mi>k</mml:mi>":[74,94],"encoding=\"application/x-tex\">k</mml:annotation>":[76,96],"</inline-formula>-forms":[79,99],"in":[101],"interior.":[103],"Furthermore,":[104],"are":[107],"cochain":[108],"maps,":[109],"i.e.,":[110],"they":[111],"commute":[112],"with":[113],"exterior":[115],"derivative.":[116]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
