Topological volumes of fibrations: a note on open covers
DOI10.1017/prm.2021.64zbMath1505.55008arXiv2104.06038OpenAlexW3205950340MaRDI QIDQ5038423
Publication date: 30 September 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06038
fibre bundlessimplicial volumeLusternik-Schnirelmann categoryminimal volume entropyamenable category
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Singular homology and cohomology theory (55N10) Other (co)homology theories (category-theoretic aspects) (18G90)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
- Categorical group invariants of 3-manifolds
- Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces)
- On the Lusternik-Schnirelmann category of abstract groups
- Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups
- Simplicial volume of closed locally symmetric spaces of non-compact type
- Invitation to topological robotics
- Homological invariance for asymptotic invariants and systolic inequalities
- Minimal entropy and geometric decompositions in dimension four
- Volume and bounded cohomology
- On the topology of algorithms. I
- The Gromov invariant of negatively curved manifolds
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- On category, in the sense of Lusternik-Schnirelmann
- Uniform growth in groups of exponential growth
- Bounded cohomology of amenable covers via classifying spaces
- Embedding non-arithmetic hyperbolic manifolds
- Amenable category and complexity
- The simplicial volume of mapping tori of 3-manifolds
- Positivity of simplicial volume for nonpositively curved manifolds with a Ricci-type curvature condition
- On the real algebra of Denjoy-Carleman classes
- On fibrations and category
- A note on fibrations and category
- Simplicial volume of locally symmetric spaces covered by \(\mathrm{SL}_{3} \mathbb R/\mathrm{SO}(3)\)
- Bounded Cohomology Characterizes Hyperbolic Groups
- Criteria for virtual fibering
- Growth Rates, ℤ p -Homology, and Volumes of Hyperbolic 3-Manifolds
- Cone-Decompositions and Degenerate Critical Points
- ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
- ASYMPTOTIC VOLUMES AND SIMPLY CONNECTED SURGERIES OF SMOOTH MANIFOLDS
- Ideal Simplicial Volume of Manifolds with Boundary
- Product set growth in groups and hyperbolic geometry
- Constructing hyperbolic manifolds which bound geometrically
This page was built for publication: Topological volumes of fibrations: a note on open covers