Łojasiewicz exponent of overdetermined semialgebraic mappings

Spodzieja, Stanisław; Szlachcińska, Anna

dc.contributor.author	Spodzieja, Stanisław
dc.contributor.author	Szlachcińska, Anna
dc.contributor.editor	Krasiński, Tadeusz
dc.contributor.editor	Spodzieja, Stanisław
dc.date.accessioned	2017-12-28T09:26:28Z
dc.date.available	2017-12-28T09:26:28Z
dc.date.issued	2017
dc.identifier.citation	Spodzieja S., Szlachcińska A., Łojasiewicz exponent of overdetermined semialgebraic mappings, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry2, Łódź University Press, Łódź 2017, p. 179-188, doi: 10.18778/8088-922-4.20	pl_PL
dc.identifier.isbn	978-83-8088-922-4
dc.identifier.uri	http://hdl.handle.net/11089/23781
dc.description.abstract	We prove that both local and global Łojasiewicz exponent of a continuous overdetermined semialgebraic mapping F : X → Rᵐ on a closed semialgebraic set X ⊂ Rⁿ (i.e. m > dimX) are equal to the Łojasiewicz exponent of the composition L ₒ F : X → Rᵏ for the generic linear mapping L : Rᵐ → Rᵏ, where k = dimX.	pl_PL
dc.language.iso	en	pl_PL
dc.publisher	Łódź University Press	pl_PL
dc.relation.ispartof	Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017;
dc.rights	Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/pl/	*
dc.title	Łojasiewicz exponent of overdetermined semialgebraic mappings	pl_PL
dc.type	Book chapter	pl_PL
dc.rights.holder	© Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017	pl_PL
dc.page.number	179-188	pl_PL
dc.contributor.authorAffiliation	Faculty of Mathematics and Computer Science, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland	pl_PL
dc.identifier.eisbn	978-83-8088-923-1
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dc.contributor.authorEmail	spodziej@math.uni.lodz.pl	pl_PL
dc.contributor.authorEmail	anna_loch@wp.pl	pl_PL
dc.identifier.doi	10.18778/8088-922-4.20