Magnitude homology of enriched categories and metric spaces

Reference. Magnitude homology of enriched categories and metric spaces

Tom Leinster, Michael Shulman · Algebraic & Geometric Topology · 2021 · category-theory · DOI · arXiv

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@article{leinster-2021-magnitude, title={Magnitude homology of enriched categories and metric spaces}, volume={21}, ISSN={1472-2747}, url={http://dx.doi.org/10.2140/agt.2021.21.2175}, DOI={10.2140/agt.2021.21.2175}, number={5}, journal={Algebraic \& Geometric Topology}, publisher={Mathematical Sciences Publishers}, author={Leinster, Tom and Shulman, Michael}, year={2021}, month=Oct, pages={2175–2221} }

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leinster-2021-magnitude:
  type: article
  title: Magnitude homology of enriched categories and metric spaces
  author:
  - Leinster, Tom
  - Shulman, Michael
  date: 2021-10
  page-range: 2175-2221
  url: http://dx.doi.org/10.2140/agt.2021.21.2175
  serial-number:
    doi: 10.2140/agt.2021.21.2175
    issn: 1472-2747
  parent:
    type: periodical
    title: Algebraic & Geometric Topology
    publisher: Mathematical Sciences Publishers
    issue: 5
    volume: 21

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External (31)

Magnitude homology, diagonality, and median spaces (2021)
Geometric approach to graph magnitude homology (2020)
Magnitude homology of geodesic metric spaces with an upper curvature bound (2019)
Persistent magnitude (2019)
Quantales, persistence, and magnitude homology (2019)
Magnitude homology of geodesic space (2019)
Torsion in the magnitude homology of graphs (2019)
Smoothness filtration of the magnitude complex (2018)
Magnitude homology of metric spaces and order complexes (2018)
Graph magnitude homology via algebraic Morse theory (2018)
Magnitude cohomology (2018)
On the magnitude homology of metric spaces (2018)
Magnitude meets persistence. Homology theories for filtered simplicial sets (2018)
On the magnitude function of domains in Euclidean space (2017)
Positive definite matrix over a non-Archimedean field (Mathematics Stack Exchange answer) (2017)
THE MAGNITUDE OF A METRIC SPACE: FROM CATEGORY THEORY TO GEOMETRIC MEASURE THEORY (2016)
On the magnitude of a finite dimensional algebra (2016)
On the magnitudes of compact sets in Euclidean spaces (2015)
Categorifying the magnitude of a graph (2015)
Magnitude, Diversity, Capacities, and Dimensions of Metric Spaces (2013)
The magnitude of metric spaces (2013)
Positive definite metric spaces (2010)
The Euler characteristic of a category (2008)
THE EULER CHARACTERISTIC OF A CATEGORY AS THE SUM OF A DIVERGENT SERIES (2007)
Metric spaces, convexity and nonpositive curvature (2005)
Model categories and their localizations (2003)
Simplicial Homotopy Theory (1999)
Basic Concepts of Enriched Category Theory (1982)
Multivalued functions and functionals. An analogue of the Morse theory (1981)
Metric spaces, generalized logic, and closed categories (1973)
Theory of Graphs (1962)