搜索结果: 1-15 共查到“拓扑学 spaces”相关记录44条 . 查询时间(0.058 秒)
Topological components of spaces of representations
representations Topological components
2015/9/29
Let S be a closed oriented surface of genus g > 1 and let ~r denote its fundamental
group. Let G be a semisimple Lie group. The purpose of this paper is to investigate the global properties of the s...
A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones
Uniform Space Duality Hyperspace Variety
2012/7/11
A uniform space is said to be non-Archimedean if it is generated by equivalence relations. If $\lambda$ is a cardinal, then a non-Archimedean uniform space $(X,\mathcal{U})$ is $\lambda$-totally bound...
Topology of probability measure spaces, II
Topology of probability measure spaces General Topology
2012/6/29
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors $\hat P$ and $P_\tau$ of spaces of probability $\tau$-smooth and Rado...
Skeletally Dugundji spaces
absolute Dugundji spaces inverse system open maps skeletally Dugundji spaces skeletal maps
2012/6/21
We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. The main result states that the following conditions are equivalent for a given space $X$...
Visual limits of maximal flats in symmetric spaces and Euclidean buildings
visual limit geometric limit CAT(0) geometry geodesic boundary convex subset maximal flat symmetric space of non-compact type Euclidean building topological spherical building
2012/6/25
Let X be a symmetric space of non-compact type or a locally finite, strongly transitive Euclidean building, and let B denote the geodesic boundary of X. We reduce the study of visual limits of maximal...
Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known.
Topological complexity of motion planning in projective product spaces
Topological complexity product projective spaces Euclidean immersions of manifolds generalized axial maps
2012/6/14
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sphere factors is (much...
Topological and uniform structures on universal covering spaces
Universal covering maps uniform structures Algebraic Topology
2012/6/7
We discuss various uniform structures and topologies on the universal covering space $\widetilde X$ and on the fundamental group $\pi_1(X,x_0)$. We introduce a canonical uniform structure $CU(X)$ on a...
The Ghost length, levels and shriek maps on classifying spaces
Level ghost length Gorenstein space shriek map
2012/4/17
We give a lower bound of the cochain type level of the diagonal map on the classifying space of a Lie group by using the ghostness of a shriek map. Moreover, in a derived category, we discuss the triv...
On L-spaces and left-orderable fundamental groups
left-orderable fundamental groups Geometric Topology
2011/9/20
Abstract: Examples suggest that there is a correspondence between L-spaces and 3-manifolds whose fundamental groups cannot be left-ordered. In this paper we establish the equivalence of these conditio...
Finite-sided deformation spaces of complete affine 3-manifolds
Finite-sided deformation spaces complete affine 3-manifolds Geometric Topology
2011/9/6
Abstract: A Margulis spacetime is a complete affine 3-manifold M with nonsolvable fundamental group. Associated to every Margulis spacetime is a noncompact complete hyperbolic surface S. We show that ...
Spaces of measurable functions
measurable functions absolute retracts infinite-dimensional manifolds reflective isotopy property Z-sets
2011/8/29
Abstract: For a metrizable space $X$ and a finite measure space $(\Omega,\mathfrak{M},\mu)$ let $M_{\mu}(X)$ and $M^f_{\mu}(X)$ be the spaces of all equivalence classes (under the relation of equality...
Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces
R-tree generalized Cayley graph one-dimensional space
2011/8/29
Abstract: In their study of fundamental groups of one-dimensional path-connected compact metric spaces, Cannon and Conner have asked: Is there a tree-like object that might be considered the topologic...
For Hausdorff spaces, $H$-closed = $D$-pseudocompact for all ultrafilters $D$
Weakly initial compactness D-pseudocompactness H-closed H(i)
2011/8/29
Abstract: We prove that a topological space is $H(i)$ if and only if it is $D$-pseudocompact, for every ultrafilter $D$.
Locally, our result asserts that if $X$ is a weakly initially $\lambda$-compa...
Koszul spaces
Koszul spaces Algebraic Topology
2011/8/25
Abstract: We prove that a nilpotent space is both formal and coformal if and only if it is rationally homotopy equivalent to the derived spatial realization of a graded commutative Koszul algebra. We ...