Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 14 min ago
PreprintCC BY 4.0arXiv

Plasticity of the unit sphere of the space c0

  • Olesia Zavarzina
Open at sourcePDFDOICite

Abstract

In this paper, we prove that the unit sphere of the space c0 is plastic, i.e., every non-expansive bijection from this sphere onto itself is an isometry.

Related

  1. The Second Gap for Minimal Hypersurfaces in the Unit Sphere with Constant Cubic Trace
    Shanlin Guan
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  2. Upper bounds for packings of cylinders around the unit sphere
    Alexey Glazyrin
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsGeometry & topologyarXiv
  3. Non-expansive maps between unit balls that send the sphere onto the sphere are linear isometries
    Kaarel August Kurik
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  4. Legendrian submanifolds in the unit sphere with conformal Maslov form and constant sectional curvature
    Yong Luo, Cheng Xing
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  5. The norm reveals projections in the positive unit sphere of an arbitrary C*-algebra
    Antonio M. Peralta, Pedro Saavedra
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{zavarzina2026plasticity,
  title = {{Plasticity of the unit sphere of the space $c_0$}},
  author = {Olesia Zavarzina},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27855},
  eprint = {2610.27855},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27855},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Plasticity of the unit sphere of the space c_0
AU  - Olesia Zavarzina
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27855
UR  - https://arxiv.org/abs/2610.27855
AB  - In this paper, we prove that the unit sphere of the space c_0 is plastic, i.e., every non-expansive bijection from this sphere onto itself is an isometry.
ER  -