Epimorphisms of frames
نویسندگان
چکیده
منابع مشابه
Epimorphisms of Uniform Frames
It is shown that some familiar properties of epimorphisms in the category of frames cary over to the category of uniform frames. This is achieved by suitably enriching certain frame homomorphisms to uniform frame homomorphisms. This note deals with the natural question, apparently never considered so far, whether certain familiar facts concerning epimorphisms, and specifically epi-extensions, o...
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This paper deals with several aspects of epimorphisms in the category MFrm of metric frames and contractive homomorphisms. In particular, it is shown that (i) the epicomplete metric frames are uniquely determined by the power-set lattices of sets, (ii) episurjective is the same as Boolean, (iii) a metric frame has an epicompletion iff it is spatial, and (iv) the subcategory of epicomplete L in ...
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Using a bijection between the set BH of all Bessel sequences in a (separable) Hilbert space H and the space L(`2,H) of all (bounded linear) operators from `2 to H, we endow the set F of all frames in H with a natural topology for which we determine the connected components of F . We show that each component is a homogeneous space of the group GL(`2) of invertible operators of `2. This geometric...
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We consider the relations ≥ and ≥p on the collection of all knots, where k ≥ k (respectively, k ≥p k) if there exists an epimorphism πk → πk of knot groups (respectively, preserving peripheral systems). When k is a torus knot, the relations coincide and k must also be a torus knot; we determine the knots k that can occur. If k is a 2-bridge knot and k ≥p k, then k is a 2-bridge knot with determ...
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Let G be a finitely generated group, and let λ ∈ G. If there exists a knot k such that πk = π1(S \k) can be mapped onto G sending the longitude to λ, then there exists infinitely many distinct prime knots with the property. Consequently, if πk is the group of any knot (possibly composite), then there exists an infinite number of prime knots k1, k2, · · · and epimorphisms · · · → πk2 → πk1 → πk ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1991
ISSN: 0022-4049
DOI: 10.1016/0022-4049(91)90012-q