144 citations
- Florida State UniversityUS12 papers
- Rensselaer Polytechnic InstituteUS4 papers
- Clarkson UniversityUS3 papers
- National High Magnetic Field LaboratoryUS3 papers
- Simón Bolívar UniversityVE3 papers
- Naval Research Laboratory Information Technology Division2 papers
- Oak Ridge National LaboratoryUS2 papers
- United States Naval Research LaboratoryUS2 papers
- Virginia TechUS2 papers
- A. Alikhanyan National LaboratoryAM1 paper
- Amherst CollegeUS1 paper
- Argonne National LaboratoryUS1 paper
5 papers · 1 filter
A refinement of multi-dimensional persistence
Kevin P. Knudson
We study the multi-dimensional persistence of Carlsson and Zomorodian and obtain a finer classification based upon the higher tor-modules of a persistence module. We propose a vari…
A retraction theorem for topological fundamental groups with application to the Hawaiian earring
Paul Fabel
A characterization of regular topological fundamental groups yields a `no retraction theorem' for spaces constructed in similar fashion to the Hawaiian earring.
Topological fundamental groups can distinguish spaces with isomorphic homotopy groups
Paul Fabel
We exhibit a map f between aspherical spaces X and Y such that f induces an isomorphism on homotopy groups but, with natural topologies, X and Y fail to have homeomorphic fundament…
A monomorphism theorem for the inverse limit of nested retracts
Paul Fabel
Various characterizations are offered of injectivity of the canonical fundamental group homomorphism for a certain class of inverse limit spaces. One application characterizes the…
The homology of invariant group chains
Kevin P. Knudson
If is a group acting as a group of automorphisms of another group (with finite orbits), denote by the subcomplex of -invariant chains in the bar complex $C_*(…