Directed homology theories and Eilenberg-Steenrod axioms
From MaRDI portal
Publication:1701172
DOI10.1007/s10485-016-9438-yzbMath1422.55009OpenAlexW2433434457MaRDI QIDQ1701172
Jean Goubault-Larrecq, Jérémy Dubut, Eric Goubault
Publication date: 22 February 2018
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-03189639/file/apcs2-hal.pdf
Axioms for homology theory and uniqueness theorems in algebraic topology (55N40) Other homology theories in algebraic topology (55N35)
Related Items
Stratified spaces, directed algebraic topology, and state-sum TQFTs, Bisimilarity of Diagrams, Stable components of directed spaces, Directed topological complexity, A Probability Monad as the Colimit of Spaces of Finite Samples, Labeled homology of higher-dimensional automata
Cites Work
- Simplicial models for trace spaces. II: General higher dimensional automata
- Simplicial models of trace spaces
- Trace spaces in a pre-cubical complex
- A convenient category of locally preordered spaces
- Cohomology of small categories
- Computing homology
- Inequilogical spaces, directed homology and noncommutative geometry
- Computing persistent homology
- Bisimulation from open maps
- Algebraic topology and concurrency
- Directed algebraic topology and concurrency. With a foreword by Maurice Herlihy and a preface by Samuel Mimram
- Rings with several objects
- Dipaths and dihomotopies in a cubical complex
- Trace Spaces: An Efficient New Technique for State-Space Reduction
- Natural Homology
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item