Description of the connected components of a semialgebraic set in single exponential time

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This paper is devoted to the following result: let R be a real closed field and let S be a semialgebraic subset of Rn defined by a boolean combination of polynomial inequalities. Let D be the sum of the degrees of the polynomials involved. Then it is possible to find algorithmically a description of...

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Autores principales:	Heintz, J., Roy, M.-F., Solernó, P.
Formato:	Artículo publishedVersion
Publicado:	1994
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_01795376_v11_n1_p121_Heintz http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01795376_v11_n1_p121_Heintz_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_01795376_v11_n1_p121_Heintz_oai2020-10-19 Heintz, J. Roy, M.-F. Solernó, P. 1994 This paper is devoted to the following result: let R be a real closed field and let S be a semialgebraic subset of Rn defined by a boolean combination of polynomial inequalities. Let D be the sum of the degrees of the polynomials involved. Then it is possible to find algorithmically a description of the semialgebraically connected components of S in sequential time Dn o(1) and parallel time (n log D)o(1) This implies that the problem of finding the connected components of a semialgebraic set can be solved in P-SPACE. © 1994 Springer-Verlag New York Inc. Fil:Solernó, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_01795376_v11_n1_p121_Heintz info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Discrete Comput Geom 1994;11(1):121-140 Description of the connected components of a semialgebraic set in single exponential time info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01795376_v11_n1_p121_Heintz_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
description	This paper is devoted to the following result: let R be a real closed field and let S be a semialgebraic subset of Rn defined by a boolean combination of polynomial inequalities. Let D be the sum of the degrees of the polynomials involved. Then it is possible to find algorithmically a description of the semialgebraically connected components of S in sequential time Dn o(1) and parallel time (n log D)o(1) This implies that the problem of finding the connected components of a semialgebraic set can be solved in P-SPACE. © 1994 Springer-Verlag New York Inc.
format	Artículo Artículo publishedVersion
author	Heintz, J. Roy, M.-F. Solernó, P.
spellingShingle	Heintz, J. Roy, M.-F. Solernó, P. Description of the connected components of a semialgebraic set in single exponential time
author_facet	Heintz, J. Roy, M.-F. Solernó, P.
author_sort	Heintz, J.
title	Description of the connected components of a semialgebraic set in single exponential time
title_short	Description of the connected components of a semialgebraic set in single exponential time
title_full	Description of the connected components of a semialgebraic set in single exponential time
title_fullStr	Description of the connected components of a semialgebraic set in single exponential time
title_full_unstemmed	Description of the connected components of a semialgebraic set in single exponential time
title_sort	description of the connected components of a semialgebraic set in single exponential time
publishDate	1994
url	http://hdl.handle.net/20.500.12110/paper_01795376_v11_n1_p121_Heintz http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01795376_v11_n1_p121_Heintz_oai
work_keys_str_mv	AT heintzj descriptionoftheconnectedcomponentsofasemialgebraicsetinsingleexponentialtime AT roymf descriptionoftheconnectedcomponentsofasemialgebraicsetinsingleexponentialtime AT solernop descriptionoftheconnectedcomponentsofasemialgebraicsetinsingleexponentialtime
_version_	1766026679003643904

Description of the connected components of a semialgebraic set in single exponential time

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