- acyclic manifold
- мат. ацикличное многообразие
Большой англо-русский и русско-английский словарь. 2001.
acyclic manifold
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Acyclic space — In mathematics, an acyclic space is a topological space X in which cycles are always boundaries, in the sense of homology theory. This implies that the integral homology groups in all dimensions of X are isomorphic to the corresponding homology… … Wikipedia
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Poincaré conjecture — In mathematics, the Poincaré conjecture (French, pronounced|pwɛ̃kaʀe) [cite encyclopedia | encyclopedia=The American Heritage Dictionary of the English Language | title=Poincaré, Jules Henri | url=http://www.bartleby.com/61/3/P0400300.html |… … Wikipedia
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Aspherical space — In topology, an aspherical space is a topological space with all higher homotopy groups equal to {0}. If one works with CW complexes, one can reformulate this condition: an aspherical CW complex is a CW complex whose universal cover is… … Wikipedia
List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
cap off — verb a) To finish. Let be an acyclic 2 complex and an abstract regular neighborhood of ; , so cap off to get a homology sphere . b) To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the… … Wiktionary
