Results 231 to 240 of about 472,092 (269)

The Weak Weak Category of a Space

Canadian Mathematical Bulletin, 1971
Let X be a topological space. We say that cat X ≤ n if there exists a map ϕ: X → T1(X, …, X) such that jϕ≃Δ: X → Xn+1, where T1(X, …, X) is the “fat wedge”, j is the inclusion and Δ is the diagonal map. This is an example of a right structure system. This right structure system leads to an associated weak structure system, namely weak category in this ...
openaire   +1 more source

Weak Reflections and Weak Factorization Systems

Applied Categorical Structures, 2008
It is known that in nice categories, saturated factorization systems are equivalent to reflective subcategories, that is, there is an adjunction between them inducing a bijection [\textit{C. Cassidy, M. Hébert} and \textit{G. M. Kelly}, J. Aust. Math. Soc., Ser. A 38, 287--329 (1985; Zbl 0573.18002) and ibid. 41, 286 (1986; Zbl 0601.18001)]. This paper
openaire   +2 more sources

Weak Covering Properties of Weak Topologies

Proceedings of the London Mathematical Society, 1997
In 1980, S. Gul'ko posed the problem whether the space \(C_p(K)\) is hereditarily meta-Lindelöf for every compact space \(K\). Later R. Hanswell asked whether such a space is weakly \(\theta\)-refinable. It is shown in the paper that the space \(C_p(\beta \omega_1)\) is a counterexample to both questions, and \(C_p (\beta \omega_1)\) is not even weakly
Dow, Alan, Junnila, H., Pelant, Jan
openaire   +1 more source

WEAK INJECTIVE AND WEAK FLAT COMPLEXES

Glasgow Mathematical Journal, 2015
AbstractLet R be an arbitrary ring. We introduce and study a generalization of injective and flat complexes of modules, called weak injective and weak flat complexes of modules respectively. We show that a complex C is weak injective (resp. weak flat) if and only if C is exact and all cycles of C are weak injective (resp. weak flat) as R-modules.
Gao, Zenghui, Huang, Zhaoyong
openaire   +1 more source

Weak Galois and Weak Cocleft Coextensions

Algebra Colloquium, 2007
For a weak entwining structure (A, C, ψ) living in a braided monoidal category with equalizers and coequalizers, we formulate the notion of weak A-Galois coextension with normal basis and we show that these Galois coextensions are equivalent to the weak A-cocleft coextensions introduced by the authors.
Alonso Álvarez, J. N., Fernández Vilaboa, J. M., González Rodríguez, R., Rodríguez Raposo, A. B.   +3 more
openaire   +2 more sources

Weak and Weak* Topologies

2009
In this chapter, we will study topologies on Banach spaces which are weaker (i.e. coarser) than the norm topology.
openaire   +1 more source

The Weak and Weak Topologies

1998
The topology induced by a norm on a vector space is a very strong topology in the sense that it has many open sets. This has some advantages, especially since a function whose domain is such a space finds it particularly easy to be continuous, but it also has its disadvantages.
openaire   +1 more source

ON WEAK ORTHOMORPHISMS

Mathematical Proceedings of the Royal Irish Academy, 2011
Summary: In this paper we study some important structural properties of weak orthomorphisms. Some new results of such operators are presented.
openaire   +2 more sources

The Weak and Weak* Topologies: An Introduction

1984
As we saw in our brief study of compactness in normed linear spaces, the norm topology is too strong to allow any widely applicable subsequential extraction principles. Indeed, in order that each bounded sequence in X have a norm convergent subsequence, it is necessary and sufficient that X be finite dimensional.
openaire   +1 more source

Causes of Mortality in ICU-Acquired Weakness

Journal of Intensive Care Medicine, 2020
Esther Witteveen, Janneke Horn, Luuk Wieske   +2 more
exaly