Cover Image

A natural pseudometric on homotopy groups of metric spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brazas, Jeremy, Fabel, Paul
Format:	Preprint
Published:	2022
Subjects:	Algebraic Topology Metric Geometry 55Q52, 55P55, 54E35, 54C56
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Representing fine shape of local compacta by homotopy classes of ordinary maps
by: Zemlyanoy, Vladislav
Published: (2025)

Higher homotopy wild sets
by: Brazas, Jeremy, et al.
Published: (2025)

Manifold pathologies and Baire-1 functions as cohomotopy groups
by: Chirvasitu, Alexandru
Published: (2024)

Nonlocal loss of first homotopy in polyhedral approximations of Peano continua
by: Brazas, Jeremy, et al.
Published: (2025)

Fine shape of metrizable spaces as a left fraction localization
by: Zemlyanoy, Vladislav
Published: (2023)

On R-trees, homotopies, and covering maps
by: Brazas, Jeremy, et al.
Published: (2024)

Transfinitely iterated wild sets
by: Brazas, Jeremy, et al.
Published: (2026)

Topological Stability and Latschev-type Reconstruction Theorems for Spaces of Curvature Bounded Above
by: Komendarczyk, Rafal, et al.
Published: (2024)

Function-Rips complexes in persistent homotopy theory: Local stability and Latschev theorems
by: Oudot, Steve, et al.
Published: (2026)

The 2-local homotopy types of G_2-gauge groups
by: Kameko, Masaki
Published: (2025)

Hausdorff reflection preserves shape
by: Mondéjar, Diego
Published: (2024)

The Čech homotopy groups of a shrinking wedge of spheres
by: Brazas, Jeremy
Published: (2025)

Identities for Whitehead products and infinite sums
by: Brazas, Jeremy
Published: (2024)

Characterizations of $G$-ANR spaces and inverse limits
by: Antonyan, Sergey A., et al.
Published: (2026)

The connectivity of Vietoris-Rips complexes of spheres
by: Adams, Henry, et al.
Published: (2024)

Stabilization of Poincaré duality complexes and homotopy gyrations
by: Huang, Ruizhi, et al.
Published: (2025)

Some asymptotic formulae for torsion in homotopy groups
by: Boyde, Guy, et al.
Published: (2023)

Local hyperbolicity, inert maps and Moore's conjecture
by: Huang, Ruizhi
Published: (2025)

Homotopy connectivity of Čech complexes of spheres
by: Adams, Henry, et al.
Published: (2025)

An interpolation of metrics and spaces of metrics
by: Ishiki, Yoshito
Published: (2020)

Shape theory for condensed anima
by: Mair, Catrin
Published: (2026)

Connectivity of finite subset spaces of cell complexes
by: Tuffley, Christopher
Published: (2003)

Classifying rational G-spectra for profinite G
by: Barnes, David, et al.
Published: (2022)

Motivic homotopy theory and stable homotopy groups
by: Déglise, Frédéric
Published: (2025)

Magnitude homology of real hyperplane arrangements
by: Koizumi, Junnosuke, et al.
Published: (2026)

Motion Planning on One-Dimensional Peano Continua
by: Brazas, Jeremy, et al.
Published: (2025)

Rational homotopy type and computability
by: Manin, Fedor
Published: (2020)

Basic Metric Geometry of the Bottleneck Distance
by: Che, Mauricio, et al.
Published: (2022)

Metric Geometry of Spaces of Persistence Diagrams
by: Che, Mauricio, et al.
Published: (2021)

Second homotopy classes associated with non-cancellative monoids
by: Saito, Kyoji
Published: (2023)

Vietoris thickenings and complexes of manifolds are homotopy equivalent
by: Adams, Henry, et al.
Published: (2025)

$G\operatorname{-CGWH}$ spaces and their (homotopy) colimits
by: Miladinović, Aleksandar
Published: (2025)

Ends and end cohomology
by: Bass, William G., et al.
Published: (2024)

Polyhedral products and features of their homotopy theory
by: Bahri, A., et al.
Published: (2019)

Fundamental groups of reduced suspensions are locally free
by: Brazas, Jeremy, et al.
Published: (2022)

Rationally presented metric spaces and complexity, the case of the space of uniformly continuous real functions on a compact interval
by: Lombardi, Henri, et al.
Published: (2025)

Fundamental Groups of Disjointly Tree-Graded Spaces
by: Brazas, Jeremy, et al.
Published: (2026)

Is magnitude 'generically continuous' for finite metric spaces?
by: Katsumasa, Hirokazu, et al.
Published: (2025)

Non-vanishing of homotopy groups of Manin--Schechtman arrangements
by: Saito, Takuya, et al.
Published: (2026)

Convex fair partitions into an arbitrary number of pieces
by: Akopyan, Arseniy, et al.
Published: (2018)