2017, Mathematical surveys and monographs, ISBN 9781470435141, Volume no. 219., x, 195 pages

Book

Mathematica Slovaca, ISSN 0139-9918, 2/2013, Volume 63, Issue 1, pp. 143 - 166

This study looks at some subgroups of the group H(C(X)) of homeomorphisms on the space C(X) of continuous real-valued functions on a topological space X, where...

homeomorphism group on C ( X ) | uniform topology | Algebra | horizontal homeomorphism on C ( X ) | vertical homeomorphism on C ( X ) | topology of pointwise convergence | Primary 54C35, 54C30, 54H11, 57S05 | Mathematics, general | integral homeomorphism on C ( X ) | Mathematics | algebraic homeomorphism on C ( X ) | bimonotone homeomorphism on C ( X ) | vertical homeomorphism on C(X) | homeomorphism group on C(X) | horizontal homeomorphism on C(X) | integral homeomorphism on C(X) | algebraic homeomorphism on C(X) | bimonotone homeomorphism on C(X) | MATHEMATICS | SPACES

homeomorphism group on C ( X ) | uniform topology | Algebra | horizontal homeomorphism on C ( X ) | vertical homeomorphism on C ( X ) | topology of pointwise convergence | Primary 54C35, 54C30, 54H11, 57S05 | Mathematics, general | integral homeomorphism on C ( X ) | Mathematics | algebraic homeomorphism on C ( X ) | bimonotone homeomorphism on C ( X ) | vertical homeomorphism on C(X) | homeomorphism group on C(X) | horizontal homeomorphism on C(X) | integral homeomorphism on C(X) | algebraic homeomorphism on C(X) | bimonotone homeomorphism on C(X) | MATHEMATICS | SPACES

Journal Article

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 9/2017, Volume 29, Issue 3, pp. 877 - 894

We study a class of generalized expansive dynamical systems for which at most countable orbits can be accompanied by an arbitrary given orbit. Examples of...

Van der Waerden depth | Expansive homeomorphism | Ordinary Differential Equations | n -Expansive homeomorphism | 54H20 | aleph _0$$ ℵ 0 -Expansive homeomorphism | Derived set | 37B45 | Mathematics | Applications of Mathematics | 37B05 | Partial Differential Equations | n-Expansive homeomorphism | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | aleph-Expansive homeomorphism

Van der Waerden depth | Expansive homeomorphism | Ordinary Differential Equations | n -Expansive homeomorphism | 54H20 | aleph _0$$ ℵ 0 -Expansive homeomorphism | Derived set | 37B45 | Mathematics | Applications of Mathematics | 37B05 | Partial Differential Equations | n-Expansive homeomorphism | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | aleph-Expansive homeomorphism

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2018, Volume 370, Issue 11, pp. 7647 - 7678

The ray graph is a Gromov-hyperbolic graph on which the mapping class group of the plane minus a Cantor set acts by isometries. We give a description of the...

MATHEMATICS | HYPERBOLICITY | HOMEOMORPHISMS | Geometric Topology | Mathematics

MATHEMATICS | HYPERBOLICITY | HOMEOMORPHISMS | Geometric Topology | Mathematics

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 08/2015, Volume 428, Issue 1, pp. 713 - 716

In this note we prove that a homeomorphism is countably-expansive if and only if it is measure-expansive. This result is applied for showing that the...

Expansive measure | Expansive homeomorphism | Quasi-Anosov | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | SURFACES

Expansive measure | Expansive homeomorphism | Quasi-Anosov | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | SURFACES

Journal Article

Pacific journal of mathematics, ISSN 0030-8730, 2016, Volume 283, Issue 2, pp. 405 - 418

We prove that a planar piecewise affine homeomorphism phi defined on the boundary of the square can be extended to a piecewise affine homeomorphism h of the...

Piecewise affine approximation | Sobolev homeomorphisms | MATHEMATICS | AFFINE HOMEOMORPHISMS | piecewise affine approximation | APPROXIMATION

Piecewise affine approximation | Sobolev homeomorphisms | MATHEMATICS | AFFINE HOMEOMORPHISMS | piecewise affine approximation | APPROXIMATION

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 8/2015, Volume 280, Issue 3, pp. 905 - 918

We show that the group
$$\mathcal {G}_\infty $$
G
∞
of germs at infinity of orientation-preserving homeomorphisms of
$$\mathbb {R}$$
R
admits no action on the...

Germs of homeomorphisms | Homeomorphisms of the line | 58D05 | 20F60 | Mathematics, general | Mathematics | Orderable group | 37E05 | Group actions | MATHEMATICS | HOMEOMORPHISMS

Germs of homeomorphisms | Homeomorphisms of the line | 58D05 | 20F60 | Mathematics, general | Mathematics | Orderable group | 37E05 | Group actions | MATHEMATICS | HOMEOMORPHISMS

Journal Article

2011, Student mathematical library, ISBN 0821853686, Volume 60., xiii, 314

Book

Discrete and continuous dynamical systems, ISSN 1078-0947, 07/2015, Volume 35, Issue 7, pp. 2979 - 2995

We characterize the sequences of fixed point indices {i(f(n) ,p)} n >= 1 of fixed points that are isolated as an invariant set for a continuous map f in the...

Fixed point index | Lefschetz zeta function | Conley index | Surface homeomorphisms | Isolating blocks | isolating blocks | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | ITERATIONS | surface homeomorphisms | Mathematics - Dynamical Systems

Fixed point index | Lefschetz zeta function | Conley index | Surface homeomorphisms | Isolating blocks | isolating blocks | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | ITERATIONS | surface homeomorphisms | Mathematics - Dynamical Systems

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 7/2014, Volume 24, Issue 3, pp. 1398 - 1424

We prove that any countably piecewise affine homeomorphism from an open set of ℝ2 can be approximated, together with its inverse, by diffeomorphisms in the W...

Mathematics | 57Q55 | Diffeomorphisms | Abstract Harmonic Analysis | Fourier Analysis | Piecewise affine homeomorphisms | 41A30 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Approximation of homeomorphisms | 41A29 | MATHEMATICS | LIPSCHITZ | STABLE HOMEOMORPHISMS | SMOOTH | NONLINEAR ELASTICITY | MINIMIZERS

Mathematics | 57Q55 | Diffeomorphisms | Abstract Harmonic Analysis | Fourier Analysis | Piecewise affine homeomorphisms | 41A30 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Approximation of homeomorphisms | 41A29 | MATHEMATICS | LIPSCHITZ | STABLE HOMEOMORPHISMS | SMOOTH | NONLINEAR ELASTICITY | MINIMIZERS

Journal Article

Mathematische Annalen, ISSN 0025-5831, 8/2017, Volume 368, Issue 3, pp. 1133 - 1169

Is it possible to approximate a diffeomorphism of Euclidean domains with piecewise affine homeomorphisms, locally uniformly up to the first order derivatives?...

Secondary 57R05 | Mathematics, general | Primary 41A45 | Mathematics | MATHEMATICS | MAPPINGS | STABLE HOMEOMORPHISMS | APPROXIMATION | UNIVALENT SOLUTIONS | PIECEWISE AFFINE HOMEOMORPHISMS

Secondary 57R05 | Mathematics, general | Primary 41A45 | Mathematics | MATHEMATICS | MAPPINGS | STABLE HOMEOMORPHISMS | APPROXIMATION | UNIVALENT SOLUTIONS | PIECEWISE AFFINE HOMEOMORPHISMS

Journal Article

2016, Mathematical surveys and monographs, ISBN 9781470429010, Volume no. 215., xvii, 174 pages

"Richard Thompson's famous group FF has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving...

Geometric group theory | Dimension theory (Algebra) | Homeomorphisms | Numbers, Real

Geometric group theory | Dimension theory (Algebra) | Homeomorphisms | Numbers, Real

Book

Ergodic theory and dynamical systems, ISSN 0143-3857, 01/2019, Volume 39, Issue 1, pp. 62 - 73

We prove that there exists a topologically mixing homeomorphism which is completely scrambled. We also prove that, for any integer
$n\geq 1$
, there is a...

Original Article | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | SETS | RIGIDITY | Topology

Original Article | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | SETS | RIGIDITY | Topology

Journal Article

Geometric and Functional Analysis, ISSN 1016-443X, 10/2018, Volume 28, Issue 5, pp. 1487 - 1516

We show that under certain boundedness condition, a $${{C}^{r}}$$
Cr
conservative irrational pseudo-rotations on $${\mathbb{T}^{2}}$$
T2
with a generic...

Analysis | Mathematics | MATHEMATICS | TORUS HOMEOMORPHISMS | MINIMAL DIFFEOMORPHISMS | CIRCLE MAPS | NUMBER | SEMICONJUGATE | DYNAMICS | TORAL HOMEOMORPHISMS | FLOWS | WANDERING DOMAINS | VECTORS

Analysis | Mathematics | MATHEMATICS | TORUS HOMEOMORPHISMS | MINIMAL DIFFEOMORPHISMS | CIRCLE MAPS | NUMBER | SEMICONJUGATE | DYNAMICS | TORAL HOMEOMORPHISMS | FLOWS | WANDERING DOMAINS | VECTORS

Journal Article

1983, Dissertationes mathematicae = Rozprawy matematyczne, ISBN 9788301027193, Volume 209., 51

Book

Ergodic theory and dynamical systems, ISSN 0143-3857, 12/2018, Volume 38, Issue 8, pp. 2860 - 2912

In this paper we develop a generalization of foliated manifolds in the context of metric spaces. In particular we study dendritations of surfaces that are...

Original Article | MATHEMATICS | EXPANSIVE HOMEOMORPHISMS | MATHEMATICS, APPLIED | Atlases

Original Article | MATHEMATICS | EXPANSIVE HOMEOMORPHISMS | MATHEMATICS, APPLIED | Atlases

Journal Article

Journal of topology and analysis, ISSN 1793-5253, 12/2018, Volume 10, Issue 4, pp. 933 - 940

In this work, positive functions defined on the plane are considered from a generic viewpoint, both in the continuous and bounded setting. By pursuing on...

Jacobian | Bi-Lipschitz homeomorphisms | MATHEMATICS | NETS

Jacobian | Bi-Lipschitz homeomorphisms | MATHEMATICS | NETS

Journal Article

Journal of symplectic geometry, ISSN 1527-5256, 2010, Volume 8, Issue 1, pp. 73 - 93

In 1980, Albert Fathi asked whether the group of area-preserving homeomorphisms of the 2-disc that are the identity near the boundary is a simple group. In...

MATHEMATICS | HOMEOMORPHISMS

MATHEMATICS | HOMEOMORPHISMS

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 4/2018, Volume 288, Issue 3, pp. 1255 - 1271

We show that the group cohomology of the diffeomorphisms of the disk with n punctures has the cohomology of the braid group of n strands as the summand. As an...

Mathematics, general | Mathematics | MATHEMATICS | HOMEOMORPHISMS | REALIZATION | BUNDLES | FOLIATIONS | HOMOLOGY

Mathematics, general | Mathematics | MATHEMATICS | HOMEOMORPHISMS | REALIZATION | BUNDLES | FOLIATIONS | HOMOLOGY

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 2/2017, Volume 285, Issue 1, pp. 549 - 564

An annular continuum is a compact connected set K which separates a closed annulus A into exactly two connected components, one containing each boundary...

Mathematics, general | Mathematics | DIFFEOMORPHISMS | MATHEMATICS | SURFACE HOMEOMORPHISMS | TORUS | MAPS | PLANE SEPARATING CONTINUA | SETS | TORAL HOMEOMORPHISMS | POINCARE-BIRKHOFF THEOREM | PERIODICITY | PRIME ENDS

Mathematics, general | Mathematics | DIFFEOMORPHISMS | MATHEMATICS | SURFACE HOMEOMORPHISMS | TORUS | MAPS | PLANE SEPARATING CONTINUA | SETS | TORAL HOMEOMORPHISMS | POINCARE-BIRKHOFF THEOREM | PERIODICITY | PRIME ENDS

Journal Article

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