Pub Date : 2020-08-03DOI: 10.1007/s41468-023-00124-x
D. M'endez, Rub'en J. S'anchez-Garc'ia
{"title":"A directed persistent homology theory for dissimilarity functions","authors":"D. M'endez, Rub'en J. S'anchez-Garc'ia","doi":"10.1007/s41468-023-00124-x","DOIUrl":"https://doi.org/10.1007/s41468-023-00124-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"7 1","pages":"771 - 813"},"PeriodicalIF":0.0,"publicationDate":"2020-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42739062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-31DOI: 10.1007/s41468-023-00112-1
Ezra Miller
{"title":"Stratifications of real vector spaces from constructible sheaves with conical microsupport","authors":"Ezra Miller","doi":"10.1007/s41468-023-00112-1","DOIUrl":"https://doi.org/10.1007/s41468-023-00112-1","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"7 1","pages":"473 - 489"},"PeriodicalIF":0.0,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47073296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-27DOI: 10.1007/s41468-020-00055-x
Michael J. Catanzaro, J. Curry, Brittany Terese Fasy, J. Lazovskis, Greg Malen, Hans Riess, Bei Wang, Matthew John Zabka
{"title":"Moduli spaces of morse functions for persistence","authors":"Michael J. Catanzaro, J. Curry, Brittany Terese Fasy, J. Lazovskis, Greg Malen, Hans Riess, Bei Wang, Matthew John Zabka","doi":"10.1007/s41468-020-00055-x","DOIUrl":"https://doi.org/10.1007/s41468-020-00055-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"4 1","pages":"353 - 385"},"PeriodicalIF":0.0,"publicationDate":"2020-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00055-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49531871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-23DOI: 10.1007/s41468-021-00079-x
Shreya Arya, J. Boissonnat, Kunal Dutta, Martin Lotz
{"title":"Dimensionality reduction for k-distance applied to persistent homology","authors":"Shreya Arya, J. Boissonnat, Kunal Dutta, Martin Lotz","doi":"10.1007/s41468-021-00079-x","DOIUrl":"https://doi.org/10.1007/s41468-021-00079-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"5 1","pages":"671 - 691"},"PeriodicalIF":0.0,"publicationDate":"2020-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44675318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-26DOI: 10.1007/s41468-021-00080-4
Raphaël Tinarrage
{"title":"Computing persistent Stiefel–Whitney classes of line bundles","authors":"Raphaël Tinarrage","doi":"10.1007/s41468-021-00080-4","DOIUrl":"https://doi.org/10.1007/s41468-021-00080-4","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"6 1","pages":"65 - 125"},"PeriodicalIF":0.0,"publicationDate":"2020-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42162639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-25DOI: 10.1007/s41468-021-00078-y
Michael Robinson
{"title":"Cosheaf representations of relations and Dowker complexes","authors":"Michael Robinson","doi":"10.1007/s41468-021-00078-y","DOIUrl":"https://doi.org/10.1007/s41468-021-00078-y","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"6 1","pages":"27 - 63"},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47495190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-20DOI: 10.1007/s41468-020-00060-0
D. Kishimoto, A. Yamaguchi
{"title":"On the growth of topological complexity","authors":"D. Kishimoto, A. Yamaguchi","doi":"10.1007/s41468-020-00060-0","DOIUrl":"https://doi.org/10.1007/s41468-020-00060-0","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"4 1","pages":"525 - 532"},"PeriodicalIF":0.0,"publicationDate":"2020-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00060-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47282490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-20DOI: 10.1007/s41468-020-00054-y
Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, R. Sazdanovic, Bei Wang, Yusu Wang, Lori Ziegelmeier
{"title":"On homotopy types of Vietoris–Rips complexes of metric gluings","authors":"Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, R. Sazdanovic, Bei Wang, Yusu Wang, Lori Ziegelmeier","doi":"10.1007/s41468-020-00054-y","DOIUrl":"https://doi.org/10.1007/s41468-020-00054-y","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"31 5","pages":"425 - 454"},"PeriodicalIF":0.0,"publicationDate":"2020-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141204057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-02-29DOI: 10.1007/s41468-021-00068-0
Dejan Govc, R. Levi, Jason P. Smith
{"title":"Complexes of tournaments, directionality filtrations and persistent homology","authors":"Dejan Govc, R. Levi, Jason P. Smith","doi":"10.1007/s41468-021-00068-0","DOIUrl":"https://doi.org/10.1007/s41468-021-00068-0","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"5 1","pages":"313 - 337"},"PeriodicalIF":0.0,"publicationDate":"2020-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00068-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53194168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-02-14DOI: 10.1007/s41468-020-00049-9
Jorge Aguilar-Guzmán, Jesús González, José Luis León-Medina
{"title":"Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers","authors":"Jorge Aguilar-Guzmán, Jesús González, José Luis León-Medina","doi":"10.1007/s41468-020-00049-9","DOIUrl":"https://doi.org/10.1007/s41468-020-00049-9","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"4 1","pages":"181 - 198"},"PeriodicalIF":0.0,"publicationDate":"2020-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00049-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53193960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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