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AN ALGORITHMIC STRATEGY FOR FINDING CHARACTERISTIC MAPS OVER WEDGED SIMPLICIAL COMPLEXESoa mark
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dc.contributor.authorChoi, Suyoung-
dc.contributor.authorVallée, Mathieu-
dc.date.issued2022-01-01-
dc.identifier.urihttps://dspace.ajou.ac.kr/dev/handle/2018.oak/33017-
dc.description.abstractThe puzzle method was introduced by Choi and Park as an effective method for finding nonsingular characteristic maps over wedged simplicial complexes K( J) obtained from a given simplicial complex K. We study further the mod 2 case of the puzzle method. We firstly describe it completely in terms of linear algebraic language which allows us to develop a constructive puzzle algorithm. We also analyze our algorithm and compare its performances with other known algorithms including the Garrison and Scott algorithm.-
dc.description.sponsorshipThis project was supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2019R1A2C2010989). MSC2020: primary 57-08, 57S12; secondary 05E45. Keywords: puzzle method, puzzle algorithm, algorithmic strategy, wedge operation, wedged simplicial complex, characteristic map, small covers, toric topology.-
dc.language.isoeng-
dc.publisherMathematical Sciences Publishers-
dc.titleAN ALGORITHMIC STRATEGY FOR FINDING CHARACTERISTIC MAPS OVER WEDGED SIMPLICIAL COMPLEXES-
dc.typeArticle-
dc.citation.endPage43-
dc.citation.startPage13-
dc.citation.titlePacific Journal of Mathematics-
dc.citation.volume320-
dc.identifier.bibliographicCitationPacific Journal of Mathematics, Vol.320, pp.13-43-
dc.identifier.doi10.2140/pjm.2022.320.13-
dc.identifier.scopusid2-s2.0-85140651411-
dc.identifier.urlmsp.org/pjm-
dc.subject.keywordAlgorithmic strategy-
dc.subject.keywordCharacteristic map-
dc.subject.keywordPuzzle algorithm-
dc.subject.keywordPuzzle method-
dc.subject.keywordSmall covers-
dc.subject.keywordToric topology-
dc.subject.keywordWedge operation-
dc.subject.keywordWedged simplicial complex-
dc.description.isoatrue-
dc.subject.subareaMathematics (all)-
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