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20022026
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30 papers · 1 filter

math.GT2023

Limits of manifolds in the Gromov-Hausdorff metric space

Friedrich Hegenbarth, Dušan D. Repovš

We apply the Gromov-Hausdorff metric for characterization of certain generalized manifolds. Previously, we have proved that with respect to the metric generalized -…

math.GT2022

Nonsmooth manifold decompositions

Eva Horvat

We study the structure induced on a smooth manifold by a continuous selection of smooth functions. In case such selection is suitably generic, it provides a stratification of the m…

math.GT2022

Free groups as end homogeneity groups of -manifolds

Dennis J. Garity, Dušan D. Repovš

For every finitely generated free group , we construct an irreducible open -manifold whose end set is homeomorphic to a Cantor set, and with the end homogeneity group o…

math.GT2021★ 6 cited

On the Browder-Levine-Novikov embedding theorems

M. Cencelj, D. Repovš, A. Skopenkov

In this survey we present applications of the ideas of complement and neighborhood in the theory embeddings of manifolds into Euclidean space (in codimension at least three). We de…

math.GT2017★ 5 cited

Contractible 3-manifolds and the double 3-space property

Dennis J. Garity, Dušan D. Repovš, David G. Wright

Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to and whose intersection is again homeomorphic to $\mathbb R^…

math.GT2017★ 4 cited

New Techniques for Computing Geometric Index

Kathryn B. Andrist, Dennis J. Garity, Dušan D. Repovš +1

We introduce \textcolor{red}{general} new techniques for computing the geometric index of a link in the interior of a solid torus . These techniques simplify and unify previ…