## Algebraic theory of fundamental dimension |

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### Contents

Introduction | 5 |

Cohomology groups over local systems and generalized local systems | 13 |

Homological characterizations of fundamental dimension | 22 |

Copyright | |

2 other sections not shown

### Common terms and phrases

algebraic approximatively 1-connected approximatively l-connected continuum Borsuk bouquet of circles C. T. C. Wall Cartesian product Cech cohomology cell complex cG(X Chapter closed n-manifold cochain complexes compacta compactum completes the proof components continua continuum and Fd continuum with Fd Corollary cQp(X cRp(X CW complexes element Fd(A Fd(X Fd(Xx Fd(Y following conditions formula free abelian groups functor fx}xeX group G hedron Hm(X Hn(X homology homomorphism homotopy class implies induced infer integer numbers inverse limit inverse sequence isomorphism Let us prove m-normal relative Math max Fd morphism movable continuum n-dimensional natural number neighborhood oriented q-cell path Polon polyhedron prime number progroups proof is finished proof of Theorem prove the following relative to Y0 Remark sequence of polyhedra simplicial map subset system of abelian system of free system of groups Theorem Theorem 1.3 theory of shape topological trivial true that Fd universal covering projection WARSZAWA x0eX