Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Conner, Gregory R."'
Autor:
Conner, Gregory R., Pavešić, Petar
In his classical textbook on algebraic topology Edwin Spanier developed the theory of covering spaces within a more general framework of lifting spaces (i.e., Hurewicz fibrations with unique path-lifting property). Among other, Spanier proved that fo
Externí odkaz:
http://arxiv.org/abs/2008.11267
We study a natural generalization of inverse systems of finite regular covering spaces. A limit of such a system is a fibration whose fibres are profinite topological groups. However, as shown in a previous paper (Conner-Herfort-Pavesic: Some anomalo
Externí odkaz:
http://arxiv.org/abs/1901.02108
Autor:
Conner, Gregory R., Corson, Samuel M.
Publikováno v:
Proc. Amer. Math. Soc. 147 (2019), 1255-1268
We present new results regarding automatic continuity, unifying some diagonalization concepts that have been developed over the years. For example, any homomorphism from a completely metrizable topological group to Thompson's group $F$ has open kerne
Externí odkaz:
http://arxiv.org/abs/1710.04787
An inverse limit of a sequence of covering spaces over a given space $X$ is not, in general, a covering space over $X$ but is still a lifting space, i.e. a Hurewicz fibration with unique path lifting property. Of particular interest are inverse limit
Externí odkaz:
http://arxiv.org/abs/1708.00877
Autor:
Conner, Gregory R., Kent, Curtis
Publikováno v:
In Topology and its Applications 1 March 2022 308
Publikováno v:
In Topology and its Applications 15 August 2021 300
Publikováno v:
In Journal of Algebra 15 July 2021 578:371-401
Autor:
Conner, Gregory R., Corson, Samuel M.
Publikováno v:
Fund. Math. 232 (2016), 41-48
We show that the first homology group of a locally connected compact metric space is either uncountable or is finitely generated. This is related to Shelah's well-known result which shows that the fundamental group of such a space satisfies a similar
Externí odkaz:
http://arxiv.org/abs/1509.07055
The classical archipelago is a non-contractible subset of $\mathbb{R}^3$ which is homeomorphic to a disk except at one non-manifold point. Its fundamental group, $\mathcal{A}$, is the quotient of the topologist's product of $\mathbb Z$, the fundament
Externí odkaz:
http://arxiv.org/abs/1410.8389
Autor:
Conner, Gregory R., Hojka, Wolfram
Guided by classical concepts, we define the notion of \emph{ends} of an iterated function system and prove that the number of ends is an upper bound for the number of nondegenerate components of its attractor. The remaining isolated points are then l
Externí odkaz:
http://arxiv.org/abs/1403.1516