Relevant bibliographies by topics / Space of ends

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  1. Journal articles

Academic literature on the topic 'Space of ends'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Space of ends"

1

peschke, Georg. "Ends of spaces related by a covering map." Canadian Mathematical Bulletin 33, no. 1 (1990): 110–18. http://dx.doi.org/10.4153/cmb-1990-019-2.

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Consider a covering p : X → B of connected topological spaces. If B is a compact polyhedron, a classical result of H. Hopf [4] says that the end space E(X) of X is an invariant of the group G of covering transformations. Thus it becomes meaningful to define the end space of the finitely generated group G as E(G) := E(X).
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2

Biggin, Susan. "Space: Tether ends up in the ether." Physics World 9, no. 4 (1996): 11. http://dx.doi.org/10.1088/2058-7058/9/4/10.

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3

Gilligan, B., K. Oeljeklaus, and W. Richthofer. "Homogeneous Complex Manifolds with more than One End." Canadian Journal of Mathematics 41, no. 1 (1989): 163–77. http://dx.doi.org/10.4153/cjm-1989-008-4.

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For homogeneous spaces of a (real) Lie group one of the fundamental results concerning ends (in the sense of Freudenthal [8] ) is due to A. Borel [6]. He showed that if X = G/H is the homogeneous space of a connected Lie group G by a closed connected subgroup H, then X has at most two ends. And if X does have two ends, then it is diffeomorphic to the product of R with the orbit of a maximal compact subgroup of G.In the setting of homogeneous complex manifolds the basic idea should be to find conditions which imply that the space has at most two ends and then, when the space has exactly two ends, to display the ends via bundles involving C* and compact homogeneous complex manifolds. An analytic condition which ensures that a homogeneous complex manifold X has at most two ends is that X have non-constant holomorphic functions and the structure of such a space with exactly two ends is determined, namely, it fibers over an affine homogeneous cone with its vertex removed with the fiber being compact [9], [13].
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4

Mazzeo, Rafe, Jan Swoboda, Hartmut Weiss, and Frederik Witt. "Ends of the moduli space of Higgs bundles." Duke Mathematical Journal 165, no. 12 (2016): 2227–71. http://dx.doi.org/10.1215/00127094-3476914.

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5

Connell, Chris, and John Ullman. "Ends of negatively curved surfaces in Euclidean space." manuscripta mathematica 131, no. 3-4 (2010): 275–303. http://dx.doi.org/10.1007/s00229-009-0324-x.

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6

Abresch, Uwe, and Viktor Schroeder. "Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space." Journal of Differential Geometry 35, no. 2 (1992): 299–336. http://dx.doi.org/10.4310/jdg/1214448077.

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7

Cornulier, Yves. "On the space of ends of infinitely generated groups." Topology and its Applications 263 (August 2019): 279–98. http://dx.doi.org/10.1016/j.topol.2019.05.013.

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8

Biggin, S. "Italian Space Agency Head Ends Term With a Bang." Science 272, no. 5270 (1996): 1867. http://dx.doi.org/10.1126/science.272.5270.1867.

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9

Kovtonyuk, D. A., and V. I. Ryazanov. "On the Theory of Prime Ends for Space Mappings." Ukrainian Mathematical Journal 67, no. 4 (2015): 528–41. http://dx.doi.org/10.1007/s11253-015-1098-9.

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10

ESTEVEZ-DELGADO, J., and T. ZANNIAS. "WORMHOLES OF K-ESSENCE IN ARBITRARY SPACE–TIME DIMENSIONS." International Journal of Modern Physics A 23, no. 20 (2008): 3165–75. http://dx.doi.org/10.1142/s0217751x08040536.

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We consider a K-essence involving a massless scalar field Φ minimally coupled to Einstein gravity in D ≥ 4 space–time dimensions. This theory admits a two-parameter family of spherical wormholes representing two asymptotically-flat universes connected via a (D-2)-dimensional spherical throat. The ADM masses of the two ends are unequal and of opposite sign except for a one-parameter family where both ends possess vanishing ADM masses. By cut and paste techniques, we construct a two-parameter family of wormholes where the ends possess equal and positive ADM masses but the throat is a (D-1)-dimensional thin-shell. The structure of the surface energy–momentum tensor is also analyzed.
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