منابع مشابه
Metrizable Shape and Strong Shape Equivalences
In this paper we construct a functor Φ : proTop → proANR which extends Mardešić correspondence that assigns to every metrizable space its canonical ANR-resolution. Such a functor allows one to define the strong shape category of prospaces and, moreover, to define a class of spaces, called strongly fibered, that play for strong shape equivalences the role that ANRspaces play for ordinary shape e...
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Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)leq 1$, multiplication modules are precisely cyclic or isomorphic to an invertible ideal of $R$. Moreover, we give a charac...
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We extend the notion of shape-Wilf-equivalence to vincular patterns (also known as “generalized patterns” or “dashed patterns”). First we introduce a stronger equivalence on patterns which we call filling-shape-Wilfequivalence. When vincular patterns α and β are filling-shape-Wilf-equivalent, we prove that α⊕ σ and β ⊕ σ must also be filling-shape-Wilf-equivalent. We also discover two new pairs...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-1038759-9