EXAMPLES OF SMOOTH MAPS WITH FINITELY MANY CRITICAL POINTS IN DIMENSIONS (4,3), (8,5) AND (16,9)

Simple item page
dc.contributor.authorFunar, Louis
dc.contributor.authorPintea, Cornel
dc.contributor.authorZhang, Ping
dc.date.accessioned2026-02-06T18:48:50Z
dc.date.issued2010
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe consider manifolds M-2n which admit smooth maps into a connected sum of S-1 x S-n with only finitely many critical points, for n is an element of {2,4,8}, and compute the minimal number of critical points.
dc.description.sponsorshipANR [ANR-06-BLAN-0311]; CNCSIS [8/1467/2007, 523/2007]; Eastern Mediterranean University Scientific Research Budget [BAP-A-08-05]; Agence Nationale de la Recherche (ANR) [ANR-06-BLAN-0311] Funding Source: Agence Nationale de la Recherche (ANR)
dc.description.sponsorshipThe authors are indebted to Dennis Sullivan, Yuh Rudyak and Andras Szucs for useful discussions on this topic during the M. M. Postnikov Memorial Conference at Bedlewo, June 2007. The first author was partially supported by the ANR Repsurf: ANR-06-BLAN-0311. The second author was partially supported by the CNCSIS grant of type A, 8/1467/2007 and partially by the CNCSIS grant PN II, ID 523/2007. The third author was partially supported by Eastern Mediterranean University Scientific Research Budget BAP-A-08-05. The third author thanks Jianzhong Pan, Haibao Duan and Kaiming Zhao of the Institute of Mathematics of CAS in Beijing for their hospitality when part of this paper was written in the summer of 2007.
dc.identifier.doi10.1090/S0002-9939-09-10028-X
dc.identifier.endpage365
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.issue1
dc.identifier.scopus2-s2.0-72549116257
dc.identifier.scopusqualityQ2
dc.identifier.startpage355
dc.identifier.urihttps://doi.org/10.1090/S0002-9939-09-10028-X
dc.identifier.urihttps://hdl.handle.net/11129/14626
dc.identifier.volume138
dc.identifier.wosWOS:000273614200038
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Mathematical Soc
dc.relation.ispartofProceedings of the American Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectCritical point
dc.subjectisolated singularity
dc.subjectHopf fibration
dc.subjectsuspension
dc.subjecthomotopy sphere
dc.titleEXAMPLES OF SMOOTH MAPS WITH FINITELY MANY CRITICAL POINTS IN DIMENSIONS (4,3), (8,5) AND (16,9)
dc.typeArticle

Files

Collections

WoS Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu