Higher homotopy wild sets w_n(X) are homotopy invariant, every compact metric space is realizable as w_n(X) for some Peano continuum, and complete π_n-rigidity holds for n-dimensional π_n-shape injective Peano continua.
Algebraic topology of Peano continua
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Higher homotopy wild sets
Higher homotopy wild sets w_n(X) are homotopy invariant, every compact metric space is realizable as w_n(X) for some Peano continuum, and complete π_n-rigidity holds for n-dimensional π_n-shape injective Peano continua.