dc.contributor.author | Aron, Richard M. | |
dc.contributor.author | Jaramillo, Jesús Angel | |
dc.contributor.author | Le Donne, Enrico | |
dc.date.accessioned | 2017-10-13T09:59:15Z | |
dc.date.available | 2017-10-13T09:59:15Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Aron, R. M., Jaramillo, J. A., & Le Donne, E. (2017). Smooth surjections and surjective restrictions. <i>Annales Academiae Scientiarum Fennicae-Mathematica</i>, <i>42</i>(2), 525-534. <a href="https://doi.org/10.5186/aasfm.2017.4237" target="_blank">https://doi.org/10.5186/aasfm.2017.4237</a> | |
dc.identifier.other | CONVID_27245429 | |
dc.identifier.other | TUTKAID_75123 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/55623 | |
dc.description.abstract | Given a surjective mapping f : E → F between Banach spaces, we investigate the
existence of a subspace G of E, with the same density character as F, such that the restriction of
f to G remains surjective. We obtain a positive answer whenever f is continuous and uniformly
open. In the smooth case, we deduce a positive answer when f is a C
1
-smooth surjection whose set
of critical values is countable. Finally we show that, when f takes values in the Euclidean space
Rn, in order to obtain this result it is not sufficient to assume that the set of critical values of f
has zero-measure. | |
dc.language.iso | eng | |
dc.publisher | Suomalainen tiedeakatemia | |
dc.relation.ispartofseries | Annales Academiae Scientiarum Fennicae-Mathematica | |
dc.subject.other | smooth surjective mapping | |
dc.subject.other | nonlinear quotient | |
dc.subject.other | surjective restriction | |
dc.subject.other | uniformly open map | |
dc.subject.other | density character | |
dc.title | Smooth surjections and surjective restrictions | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201709263832 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2017-09-26T15:15:08Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 525-534 | |
dc.relation.issn | 1239-629X | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 42 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © the Authors & Suomalainen tiedeakatemia, 2017. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | funktionaalianalyysi | |
dc.subject.yso | metriset avaruudet | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
dc.relation.doi | 10.5186/aasfm.2017.4237 | |