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Finite Covers
, 1995
"... Contents 0 Outline of the Notes 1 1 Introduction to covers 3 1.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Related Notions . . . . . . . . . . . ..."
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Cited by 4 (1 self)
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Contents 0 Outline of the Notes 1 1 Introduction to covers 3 1.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Related Notions
Finite Covers With Finite Kernels
 Ann. Pure Appl. Logic
, 1995
"... We are concerned with the following problem. Suppose \Gamma and \Sigma are closed permutation groups on infinite sets C and W and ae : \Gamma \Gamma! \Sigma is a nonsplit, continuous epimorphism with finite kernel. Describe (for fixed \Sigma) the possibilities for ae. Here, we consider the case whe ..."
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Cited by 5 (4 self)
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where ae arises from a finite cover ß : C \Gamma! W . We give reasonably general conditions on the permutation structure hW ; \Sigmai which allow us to prove that these covers arise in two possible ways. The first way, reminiscent of covers of topological spaces, is as a covering of some \Sigma
Notes On Finite Covers
, 1996
"... Contents 1 Basic definitions and results 2 1.1 Permutation structures : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2 1.2 Finite covers : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 3 1.3 Topological arguments : : : : : : : ..."
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Contents 1 Basic definitions and results 2 1.1 Permutation structures : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2 1.2 Finite covers : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 3 1.3 Topological arguments
Almostfree finite covers
, 705
"... Let W be a firstorder structure and ρ be an Aut(W)congruence on W. In this paper we define the almostfree finite covers of W with respect to ρ, and we show how to construct them. These are a generalization of free finite covers. A consequence of a result of [5] is that any finite cover of W with ..."
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Let W be a firstorder structure and ρ be an Aut(W)congruence on W. In this paper we define the almostfree finite covers of W with respect to ρ, and we show how to construct them. These are a generalization of free finite covers. A consequence of a result of [5] is that any finite cover of W
Bounds in the Theory of Finite Covers
"... We give an upper bound for the number of conjugacy classes of closed subgroups of the full wreath product F WrW Sym(## which project onto Sym(### Here,# is infinite, W is the set of ntuples of distinct elements from# (for some finite n), F is a finite nilpotent group and the topology on the wreath ..."
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product is that of pointwise convergence in its imprimitve permutation action. The result addresses a problem which arises in a natural modeltheoretic context about classifying certain types of finite covers.
Finite Covers of Categorical Structures
"... We give a survey of the problem of describing the finite covers of a given alephzero categorical base structure, particularly those where the automorphism group over the base structure is finite. 1 Introduction If C and W are firstorder structures we say that a finitetoone surjection ß : C !W ..."
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We give a survey of the problem of describing the finite covers of a given alephzero categorical base structure, particularly those where the automorphism group over the base structure is finite. 1 Introduction If C and W are firstorder structures we say that a finitetoone surjection ß : C !W
Models of Curves and Finite Covers
 COMPOSITIO MATHEMATICA
, 1999
"... Let K be a discrete valuation field with ring of integers OK.Letf: X → Y beafinite morphism of curves over K. In this article, we study some possible relationships between the models over OK of X and of Y. Three such relationships are listed below. Consider a Galois cover f: X → Y of degree prime t ..."
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Cited by 16 (2 self)
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OK such that f extends to a finite morphism X → Y? As was shown by Abhyankar, the answer is negative in general. We present counterexamples in rather general situations, with f a cyclic cover of any order � 4. On the other hand, we prove, without any hypotheses on the residual characteristic
Finite covers of random 3manifolds
, 2005
"... A 3manifold is Haken if it contains a topologically essential surface. The Virtual Haken Conjecture posits that every irreducible 3manifold with infinite fundamental group has a finite cover which is Haken. In this paper, we study random 3manifolds and their finite covers in an attempt to shed ..."
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Cited by 39 (1 self)
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A 3manifold is Haken if it contains a topologically essential surface. The Virtual Haken Conjecture posits that every irreducible 3manifold with infinite fundamental group has a finite cover which is Haken. In this paper, we study random 3manifolds and their finite covers in an attempt to shed
EMBEDDING FINITE COVERING SPACES INTO BUNDLES
"... In [H], Hansen shows that if X has the homotopy type tV of a CWcomplex of dimension i> 1 and if p: X ~ X is a finite covering map, then there exists an embedding ..."
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In [H], Hansen shows that if X has the homotopy type tV of a CWcomplex of dimension i> 1 and if p: X ~ X is a finite covering map, then there exists an embedding
Finite Coverings and Rational Points
"... The purpose of this talk is to put forward a conjecture. given by the following Basic Question. The background is ..."
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The purpose of this talk is to put forward a conjecture. given by the following Basic Question. The background is
Results 1  10
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