Neste trabalho consideramos o problema de enumerar G-fibrados sobre variedades de dimensão baixa (menor ou igual a 3), em particular fibrados vetoriais sobre as ?spherical space forms? tridimensionais. É dada uma resposta completa para estas questões e na seção 5.1 são colocadas tabelas que explicitam os possíveis fibrados vetoriais sobre as ?spherical space forms?. Este tipo de problema é recorrente em topologia algébrica e por motivos dados pela teoria de homotopia, é preciso calcular certos invariantes algébricos com sistemas de coeficientes locais, o que torna o problema mais interessante. Mostramos ainda que sobre condições consideravelmente abrangentes no grupo estrutural G, os G-fibrados sobre variedades de dimensão menor ou igual a três podem ser enumerados de maneira efetiva / In this work we consider the problem of enumerating G-bundles over low dimensional manifolds (dimension · 3) and in particular vector bundles over the three dimensional ?spherical space forms?. We give a complete answer to these questions and in section 5.1 we give tables for the possible vector bundles over the ?spherical space forms?. We deal with the problem of enumerating vector bundles over a class of manifolds. This is a long standing classical problem in algebraic topology, and because of homotopy theoretical reasons, it implies calculations of algebraic invariants with local system of coefficients, and thus becomes a cumbersome target away from the trivial occurrences. Although, we show that, under reasonably wide assumptions on the structure group G, G-bundles over low (lower or equal to three) dimensional manifolds can be counted effectively

Neste trabalho consideramos o problema de enumerar G-fibrados sobre variedades de dimensão baixa (menor ou igual a 3), em particular fibrados vetoriais sobre as ?spherical space forms? tridimensionais. É dada uma resposta completa para estas questões e na seção 5.1 são colocadas tabelas que explicitam os possíveis fibrados vetoriais sobre as ?spherical space forms?. Este tipo de problema é recorrente em topologia algébrica e por motivos dados pela teoria de homotopia, é preciso calcular certos invariantes algébricos com sistemas de coeficientes locais, o que torna o problema mais interessante. Mostramos ainda que sobre condições consideravelmente abrangentes no grupo estrutural G, os G-fibrados sobre variedades de dimensão menor ou igual a três podem ser enumerados de maneira efetiva / In this work we consider the problem of enumerating G-bundles over low dimensional manifolds (dimension · 3) and in particular vector bundles over the three dimensional ?spherical space forms?. We give a complete answer to these questions and in section 5.1 we give tables for the possible vector bundles over the ?spherical space forms?. We deal with the problem of enumerating vector bundles over a class of manifolds. This is a long standing classical problem in algebraic topology, and because of homotopy theoretical reasons, it implies calculations of algebraic invariants with local system of coefficients, and thus becomes a cumbersome target away from the trivial occurrences. Although, we show that, under reasonably wide assumptions on the structure group G, G-bundles over low (lower or equal to three) dimensional manifolds can be counted effectively

The diploma thesis deals with the real estate tax in the Czech Republic and the mutual dependence between the fees for municipal waste and local coefficients. It deals with the degree of dependence between the rate of charge for municipal waste and local coefficient. There are also examined historical context leading to the introduction of a fee for municipal waste. The amount of local rate and charge rate for municipal waste are in full responsibility of municipalities and depends on them what position they take. The main aim of this study was to determine whether municipalities will compensate the higher value of the local coefficient of real estate tax by reduction rate for municipal waste. Analysis showed that this behavior occurs only rarely and can not be regarded as a model. The research was conducted on a sample of 20 municipalities in the Central Region. Based upon research, it was found that the relationship between these variables is not.

O objetivo desse trabalho é fazer uma enumeração dos fibrados planos reais sobre algumas superfícies, como por exemplo, a esfera e o g-toro. Entre outras ferramentas, utilizamos a co-homologia das superfícies, com coeficientes locais, e também o método desenvolvido por Larmore para contar classes de homotopia de levantamento de funções. / The aim of this work is enumerate the plane bundles over some surfaces, for example the sphere and the g-torus. Among other tools we used cohomology of the surfaces with local coefficients and also the method developed by Larmore to count homotopy classes of lifting of functions.

O objetivo desse trabalho é fazer uma enumeração dos fibrados planos reais sobre algumas superfícies, como por exemplo, a esfera e o g-toro. Entre outras ferramentas, utilizamos a co-homologia das superfícies, com coeficientes locais, e também o método desenvolvido por Larmore para contar classes de homotopia de levantamento de funções. / The aim of this work is enumerate the plane bundles over some surfaces, for example the sphere and the g-torus. Among other tools we used cohomology of the surfaces with local coefficients and also the method developed by Larmore to count homotopy classes of lifting of functions.