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Our key examples are various Grassmann manifolds      G k   (   R  n  )     .<\/jats:p>","DOI":"10.3390\/a13070172","type":"journal-article","created":{"date-parts":[[2020,7,17]],"date-time":"2020-07-17T10:22:02Z","timestamp":1594981322000},"page":"172","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Approximate Triangulations of Grassmann Manifolds"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6768-2542","authenticated-orcid":false,"given":"Kevin P.","family":"Knudson","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Florida, Gainesville, FL 32611, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"809","DOI":"10.2307\/1968861","article-title":"On C1-complexes","volume":"41","author":"Whitehead","year":"1940","journal-title":"Ann. 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(2007). Triangulating the real projective plane. MACIS Proc., Available online: https:\/\/arxiv.org\/abs\/0709.2831."},{"key":"ref_7","unstructured":"Casian, L., and Kodama, Y. (2020, June 22). On the Cohomology of Real Grassmann Manifolds. Available online: https:\/\/arxiv.org\/abs\/1309.5520."},{"key":"ref_8","unstructured":"Henselman, G. (2020, June 22). Eirene, a Software Package for Computing Persistent Homology. Available online: https:\/\/github.com\/Eetion\/Eirene.jl."},{"key":"ref_9","unstructured":"Bauer, U. (2020, June 22). Ripser, a Software Package for Computing Persistent Homology. Available online: https:\/\/github.com\/Ripser\/ripser."},{"key":"ref_10","unstructured":"Nanda, V. (2020, June 22). Perseus, the Persistent Homology Software. Available online: http:\/\/www.sas.upenn.edu\/~vnanda\/perseus."},{"key":"ref_11","unstructured":"De Silva, V., and Carlsson, G. (2004). Topological estimation using witness complexes. Eurographics Symposium on Point-Based Graphics, A.K. Peters."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Chazal, F., and Oudot, S. (2008, January 9\u201311). Towards persistence-based reconstruction in Euclidean spaces. Proceedings of the 24th ACM Symposium on Computational Geometry, College Park, MD, USA.","DOI":"10.1145\/1377676.1377719"},{"key":"ref_13","first-page":"115","article-title":"Embeddings of real projective spaces","volume":"4","author":"Davis","year":"1998","journal-title":"Bol. Soc. Mat. Mex."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.difgeo.2008.06.009","article-title":"Isometric embeddings of real projective spaces into Euclidean spaces","volume":"27","author":"Zhang","year":"2009","journal-title":"Differ. Geom. Appl."},{"key":"ref_15","unstructured":"(2020, June 22). JavaPlex Persistent Homology and Topological Data Analysis Library. Available online: http:\/\/appliedtopology.github.io\/javaplex\/."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/s00454-008-9053-2","article-title":"Finding the homology of submanifolds with high confidence from random samples","volume":"39","author":"Niyogi","year":"2008","journal-title":"Disc. Comp. Geom."},{"key":"ref_17","unstructured":"(2020, June 22). GUDHI: Geometry Understanding in Higher Dimensions. Available online: https:\/\/gudhi.inria.fr\/."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/13\/7\/172\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:49:17Z","timestamp":1760176157000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/13\/7\/172"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,17]]},"references-count":17,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2020,7]]}},"alternative-id":["a13070172"],"URL":"https:\/\/doi.org\/10.3390\/a13070172","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2020,7,17]]}}}