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Dissertations / Theses on the topic 'Lusternik'

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Published: 4 June 2021

Last updated: 2 February 2022

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1

Shaw, Edmund. "Equivariant Lusternik-Schnirelmann category." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302894.

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2

Costoya-Ramos, Maria Cristina. "Catégorie de Lusternik-Schnirelmann et genre de Mislin." Lille 1, 2003. https://pepite-depot.univ-lille.fr/RESTREINT/Th_Num/2003/50376-2003-7.pdf.

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Dans cette thèse, nous obtenons des réponses, partielles ou complètes, à ces deux questions dans les cas des espaces finis. Après avoir considéré plusieurs minorants de la catégorie et vérifié que les réponses pour ces invariants sont positives, nous abordons la catégorie dans trois directions. Pour les espaces ayant le type d'homotopie rationnelle d'un H-espace fini nous obtenons que les termes diffèrent d'au plus une unité. Pour cela nous utilisons la caractérisation de la catégorie à l'aide des modèles minimaux. Pour les espaces X ayant le type d'homotopie rationnelle d'un co-H-espace nous

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3

Ndombol, Bitjong. "Sur la catégorie de Lusternik-Schnirelmann des algèbres de cochaînes." Nice, 1989. http://www.theses.fr/1989NICE4313.

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Les difficultés que posent le calcul de la catégorie de Lusternik-Schnirelmann d'un espace topologique ont amené certains auteurs à en définir des approximations par défaut. En particulier Halperin et Lemaire ont défini, pour une algèbre de cochaînes connexe sur un corps de caractéristiques quelconques, trois notions de catégories qui a priori sont distinctes. Dans ce travail, nous montrons que ces trois invariants sont égaux et que l'unique notion ainsi obtenue vérifie la conjecture de Ganéa et est invariante par extension de corps

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4

Spencer, Gwen. "Combinatorial Consequences of Relatives of the Lusternik-Schnirelmann-Borsuk Theorem." Scholarship @ Claremont, 2005. https://scholarship.claremont.edu/hmc_theses/175.

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Call a set of 2n + k elements Kneser colored when its n-subsets are put into classes such that disjoint n-subsets are in different classes. Kneser showed that k + 2 classes are sufficient to Kneser-color the n-subsets of a 2n + k element set. There are several proofs that this same number is necessary which rely on fixed-point theorems related to the Lusternik-Schnirelmann- Borsuk (LSB) theorem. By employing generalizations of these theorems we expand the proofs mentioned to obtain proofs of an original result we call the Subcoloring theorem. The Subcoloring theorem asserts the existence of a

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5

Fass'so, Velenik Agnese. "Relative homotopy invariants of the type of the Lusternik-Schnirelmann category." [S.l.] : [s.n.], 2003. http://www.diss.fu-berlin.de/2003/277/index.html.

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6

Moyaux, Pierre-Marie Cornéa Octavian. "Propriétés homotopiques et dynamiques de la catégorie relative de Lusternik - Schnirelmann." [S.l.] : [s.n.], 2002. http://www.univ-lille1.fr/bustl-grisemine/pdf/extheses/50376-2002-63-64.pdf.

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7

Moyaux, Pierre-Marie. "Propriétés homotopiques et dynamiques de la catégorie relative de Lusternik - Schnirelmann." Lille 1, 2002. https://pepite-depot.univ-lille.fr/LIBRE/Th_Num/2002/50376-2002-63-64.pdf.

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8

Alsulami, Samirah Hameed Break. "Homotopy types of topological groupoids and Lusternik-Schnirelmann category of topological stacks." Thesis, University of Leicester, 2016. http://hdl.handle.net/2381/38094.

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The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. The idea behind it is a small category in which every arrow is invertible. This notion of groupoid can be thought of as a generalisation of the notion of a group. Namely, a group is a groupoid with only one object. After the introduction of topological and differentiable groupoids by Ehresmann in 1950 in his paper on connections [19], the concept has been widely studied by many mathematicians in many areas of topology, geometry and physics. In this thesis, we deal with topological groupoids as the

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9

MELO, Jéssyca Lange Ferreira. "Multiplicidade de soluções para uma classe de problemas críticos via categoria de Lusternik-Schnireman." Universidade Federal de Campina Grande, 2010. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1224.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T13:50:44Z No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5)<br>Made available in DSpace on 2018-07-24T13:50:44Z (GMT). No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5) Previous issue date: 2010-02<br>CNPq<br>Para visualizar o resumo recomendamos do download do arquivo uma vez que o mesmo utiliza formulas ou equações matemáticas que n

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10

Thiercelin-Panais, Jean-Marc. "L. S. Catégorie d'un espace R-modéré." Lille 1, 1997. http://www.theses.fr/1997LIL10086.

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A partir de l'algebre des cochaines singulieres de l'espace x a coefficients dans un anneau principal r, nous definissons les invariants mcat(x;r) et acat(x;r) en generalisant les definitions donnees par s. Halperin et j. M. Lemaire. Lorsque l'homologie de l'espace des lacets sur r est r-libre, l'espace x admet un modele minimal decomposable commutatif qui joue le role du modele de sullivan lorsque r = q. En mimant les definitions rationnelles nous introduisons les invariants m#ccat et a#ccat. Nous demontrons alors que pour un cw complexe r-modere, au sens de d. Anick, tel que l'homologie de l

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11

Vandembroucq, Lucile. "Suspension des fibrations de Ganea et invariant de Hopf." Lille 1, 1998. https://pepite-depot.univ-lille.fr/LIBRE/Th_Num/1998/55376-1998-3.pdf.

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12

Toupin, Curtis. "On Iwase's Construction of a Counterexample to Ganea's Conjecture." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/36946.

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In 1971, Ganea put forth a conjecture that the LS category of the Cartesian product of a topological space X with a sphere Sn is always exactly 1 higher than the LS category of X by itself. Several special cases of this conjecture were proven in the years following, however the question remained open until 1998 when Iwase produced not just one, but infinitely many counterexamples. In this thesis, we study the methods implemented by Iwase, culminating in the construction of his counterexample.

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13

Bisiaux, Laurent. "Grade et invariant de Toomer d'une application." Lille 1, 1995. http://www.theses.fr/1995LIL10129.

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A une application continue f entre espaces topologiques simplement connexes sont associés classiquement les deux invariants numériques suivants : le grade du module d'holonomie et l'invariant de Toomer de f. Nous montrons dans ce travail que, sous des hypothèses convenables, le grade du module d'holonomie est inférieur ou égal à l'invariant de Toomer. Nous donnons quelques exemples et applications de ce résultat.

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14

Melo, Jéssyca Lange Ferreira. "Sobre a multiplicidade de soluções positivas para uma classe de problemas elípticos de quarta-ordem via categoria de Lusternik-Schnirelman." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-23092014-165650/.

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Neste trabalho estudamos a existência e a multiplicidade de soluções clássicas positivas para uma classe de problemas de quarta-ordem sob a condição de fronteira de Navier, relacionando o número de soluções com a topologia do domínio, mais precisamente, com sua categoria de Lusternik-Schnirelman. Introduzimos também uma noção de regiões crítica e não-crítica associadas a um de nossos problemas, a fim de garantir condições para existência de solução<br>In this work we study the existence and multiplicity of positive classical solutions for a class of fourth-order problems under Navier boundary

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15

van, Heerden Francois A. "Semilinear Elliptic Equations in Unbounded Domains." DigitalCommons@USU, 2004. https://digitalcommons.usu.edu/etd/7146.

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We studied some semilinear elliptic equations on the entire space R^N. Our approach was variational, and the major obstacle was the breakdown in compactness due to the unboundedness of the domain. First, we considered an asymptotically linear Scltrodinger equation under the presence of a steep potential well. Using Lusternik-Schnirelmann theory, we obtained multiple solutions depending on the interplay between the linear, and nonlinear parts. We also exploited the nodal structure of the solutions. For periodic potentials, we constructed infinitely many homoclinic-type multibump solutions. This

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16

Prazeres, Disson Soares dos. "Multiplicidade de Soluções para Problemas Elípticos Semilineares Envolvendo o Expoente Crítico de Sobolev." Universidade Federal da Paraíba, 2010. http://tede.biblioteca.ufpb.br:8080/handle/tede/7464.

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Made available in DSpace on 2015-05-15T11:46:26Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 549935 bytes, checksum: f7562c326b5af177cb80a71a184aa0c9 (MD5) Previous issue date: 2010-08-04<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>In this dissertation, we study the multiplicity of solutions for the following class of semilinear elliptic problems involving the critical Sobolev exponent, ---u = - juj2---2 u + f (x; u) ; x 2 e u = 0; x 2 @ ; where N - 3, - RN is a smooth and bounded domain, - is a positive real parameter and 2- = 2N= (N - 2) is the critical Sobolev exp

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17

Silva, Ailton Rodrigues da. "Existência, multiplicidade e concentração de soluções positivas para uma classe de problemas quasilineares em espaços de Orlicz-Sobolev." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9258.

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Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-15T12:49:10Z No. of bitstreams: 1 arquivototal.pdf: 1323834 bytes, checksum: 530efbd6b56f11c5cc1b4369c8c44888 (MD5)<br>Made available in DSpace on 2017-08-15T12:49:10Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1323834 bytes, checksum: 530efbd6b56f11c5cc1b4369c8c44888 (MD5) Previous issue date: 2016-02-29<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work we establish existence, multiplicity and concentration of positive solutions for the following class of problem 8<: 􀀀d

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18

Paradis, Philippe. "On the Rational Retraction Index." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23111.

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If X is a simply connected CW complex, then it has a unique (up to isomorphism) minimal Sullivan model. There is an important rational homotopy invariant, called the rational Lusternik–Schnirelmann of X, denoted cat0(X), which has an algebraic formulation in terms of the minimal Sullivan model of X. We study another such numerical invariant called the rational retraction index of X, denoted r0(X), which is defined in terms of the minimal Sullivan model of X and satisfies 0 ≤ r0(X) ≤ cat0(X). It was introduced by Cuvilliez et al. as a tool to estimate the rational Lusternik–Schnirelmann categor

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19

Chebib, Mouzher. "L.S-catégorie relative et invariant de Hopf." Thesis, Lille 1, 2009. http://www.theses.fr/2009LIL10027/document.

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Notre travail s’inscrit dans un domaine initié en 1934 par Lusternik et Schnirelmann qui associent a une variété un invariant appelé catégorie qui permet de minorer le nombre des points critiques d’une fonction différentiable sur cette variété. Nous nous intéressons à une généralisation au cas des applications continues entre espaces topologiques, auxquelles nous associons un invariant appelé sigma-i-catégorie. Nous obtenons plusieurs caractérisations de la sigma-i-catégorie d’une application. Nous examinons ensuite l’effet sur la sigma-i-catégorie d’un attachement d’une cellule à la source d’

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20

Freitas, Luciana Roze de. "Existência e multiplicidade de soluções para uma classe de problemas quasilineares com crescimento crítico exponencial." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18012011-145302/.

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Neste trabalho, mostramos a existência e multiplicidade de soluções para a seguinte classe de equações elípticas quasilineares { - \'DELTA IND. \'NÜ\' POT. \'upsilon\' + \'|\'upsilon\'| POT. \'NÜ\' - 2 \'upsilon\' = f(x, u), \'upsilon\' \'DIFERENTE\' 0, \'upsilon\' \'PERTENCE A >>: Nu + jujN2 u = f(x; u); x 2 ; u 6= 0; u 2 W1;N( ); onde e um domnio em RN, N 2, N e o operador N-Laplaciano e f e uma func~ao que possui um crescimento crtico exponencial. Para obter nossos resultados utilizamos o Princpio Variacional de Ekeland, Teorema do Passo da Montanha, Categoria de Lusternik- Schnirelm

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21

SANTOS, José Luando de Brito. "Multiplicidade de soluções para equações de Schrödinger com campo magnético externo." Universidade Federal de Campina Grande, 2016. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1407.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-11T13:44:35Z No. of bitstreams: 1 JOSÉ LUANDO DE BRITO SANTOS - DISSERTAÇÃO PPGMAT 2016..pdf: 1753037 bytes, checksum: 170adb7876570629bb31d8deea91ce71 (MD5)<br>Made available in DSpace on 2018-08-11T13:44:35Z (GMT). No. of bitstreams: 1 JOSÉ LUANDO DE BRITO SANTOS - DISSERTAÇÃO PPGMAT 2016..pdf: 1753037 bytes, checksum: 170adb7876570629bb31d8deea91ce71 (MD5) Previous issue date: 2016-03<br>CNPq<br>Neste trabalho, estudamos a existência e multiplicidade de soluções não triviais para uma classe de equações de Schrödinger

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22

MENDOZA, DE LA LUZ ERIK 465441, and DE LA LUZ ERIK MENDOZA. "Existencia y Multiplicidad de soluciones nodales y simétricas en ecuaciones diferenciales parciales de segundo orden." Tesis de doctorado, Universidad Autónoma del Estado de México, 2018. http://hdl.handle.net/20.500.11799/95301.

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Las aportaciones más relevantes del proyecto de investigación pueden ser resumidas en las siguientes conclusiones. 1. El problema de investigación tiene soluciones positivas simétricas y soluciones que cambian de signo (nodales). 2. El método variacional resulta ser eficiente al resolver ecuaciones diferenciales parciales elípticas de segundo orden. 3. El número de soluciones débiles del problema de investigación depende de la topología del dominio. 4. El análisis funcional es una herramienta de suma importancia pues se analiza el funcional asociado al problema con resultados propios de ésta á

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23

Fass`o, Velenik Agnese [Verfasser]. "Relative homotopy invariants of the type of the Lusternik-Schnirelmann category / Agnese Fasso Velenik." 2003. http://d-nb.info/969846053/34.

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24

Beauchemin, Nicolas. "Catégorie assujettie à une fonctionnelle et une application aux systèmes Hamiltoniens." Thèse, 2006. http://hdl.handle.net/1866/18135.

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25

Sewerin, Sebastian. "Curve shortening and the three geodesics theorem." 2016. https://ul.qucosa.de/id/qucosa%3A16857.

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The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric on the 2-sphere, there exist at least three embedded closed geodesics. In the process of determining the geodesics as critical points of the energy or length functional, a suitable method of curve shortening is needed. It has been suggested to use the so-called curve shortening flow as it continuously deforms smooth embedded curves while naturally preserving their embeddedness. In the 1980s, the investigation of the curve shortening flow began and a proof of the Lusternik-Schnirelmann theorem usi

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26

Fernandes, Vicente Costa. "Existência e multiplicidade de soluções positivas em equações e sistemas elípticos de tipo gradiente." Master's thesis, 2014. http://hdl.handle.net/10451/15831.

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Tese de mestrado em Matemática, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2014<br>Recorrendo a técnicas variacionais, estudamos as soluções do sistema elíptico não linear onde Ω CRN (N ≥ 1) é um domínio regular limitado e o expoente da não linearidade é superlinear e subcrítico. Seguindo os trabalhos de N. Dancer, J.-C.Wei e T.Weth (2010), R. Tian e Z. Q. Wang (2011) e N. Dancer e T. Weth (2012), mostramos resultados de existência e multiplicidade de soluções positivas para certos valores de β e, para outros, estabelecemos limitações a priori para as soluções.<br

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27

Labintseva, Valentina. "Mathematical statistics vs machine learning: towards an intelligent modeling framework for soil and plant growth processes." Master's thesis, 2019. http://hdl.handle.net/10198/23224.

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Mestrado de dupla diplomação com a Kuban State Agrarian University<br>The work described in this dissertation focuses on the methods for analyzing MS and ML that are used in PF. The purpose of the work is to investigate these methods on their practical application to a specific set of data. In the course of the work, the following tasks were completed: the current state of affairs in the field of PF was investigated, the theoretical foundations of the methods of MS and ML were investigated, which were subjected to practical tests on a specific set of data. Conclusions were drawn about the ad

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