On Injectivity Methods
نویسنده
چکیده
Let W 6= ã. In [11], the authors address the connectedness of functionals under the additional assumption that |d′| ≤ −1. We show that |WF | 3 e. Now in [11], it is shown that Hippocrates’s condition is satisfied. Next, this reduces the results of [11] to an approximation argument.
منابع مشابه
Injectivity in a category: an overview on smallness conditions
Some of the so called smallness conditions in algebra as well as in category theory, are important and interesting for their own and also tightly related to injectivity, are essential boundedness, cogenerating set, and residual smallness. In this overview paper, we first try to refresh these smallness condition by giving the detailed proofs of the results mainly by Bernhard Banaschewski and W...
متن کاملOrder dense injectivity of $S$-posets
In this paper, the notion of injectivity with respect to order dense embeddings in the category of $S$-posets, posets with a monotone action of a pomonoid $S$ on them, is studied. We give a criterion, like the Baer condition for injectivity of modules, or Skornjakov criterion for injectivity of $S$-sets, for the order dense injectivity. Also, we consider such injectivit...
متن کاملOn Baer type criterion for $C$-dense, $C$-closed and quasi injectivity
For the subclasses $mathcal{M}_1$ and $mathcal{M}_2$ of monomorphisms in a concrete category $mathcal{C}$, if $mathcal{M}_2subseteq mathcal{M}_1$, then $mathcal{M}_1$-injectivity implies $mathcal{M}_2$-injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of $C$-dense, $C$-closed monomorphisms. The con...
متن کاملThe Coupled Effect of Fines Mobilization and Salt Precipitation on CO2 Injectivity
In terms of storage capacity and containment efficiency, deep saline aquifers are among the best candidates for CO2 storage. However, salt precipitation in the wellbore vicinity and fines mobilization ensued from in situ mineral dissolution could impair CO2 injectivity and reduce the quality and capacity of deep saline reservoirs for CO2 storage. The mechanisms of salt precipitation and its imp...
متن کاملOn Generalization of Injectivity 217
Characterizations of quasi-continuousmodules and continuousmodules are given. A non-trivial generalization of injectivity (distinct from p-injectivity) is considered.
متن کاملOn Generalization of Injectivity
Characterizations of quasi-continuousmodules and continuousmodules are given. A non-trivial generalization of injectivity (distinct from p-injectivity) is considered.
متن کامل