144 citations
- Florida State UniversityUS13 papers
- Rensselaer Polytechnic InstituteUS5 papers
- A. Alikhanyan National LaboratoryAM4 papers
- Argonne National LaboratoryUS4 papers
- Hampton UniversityUS4 papers
- National High Magnetic Field LaboratoryUS4 papers
- Thomas Jefferson National Accelerator FacilityUS4 papers
- Clarkson UniversityUS3 papers
- Simón Bolívar UniversityVE3 papers
- University of HoustonUS3 papers
- University of Maryland, College ParkUS3 papers
- University of the WitwatersrandZA3 papers
Showing 2005 · math.ATShow all
3 papers · 2 filters
math.AT2005★ 2 cited
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.
math.AT2005★ 11 cited
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…
math.AT2005★ 4 cited
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…