PreprintCC BY-NC-ND 4.0HAL
Homological obstructions to local contractibility in noncollapsed Ricci limits
Abstract
For every integer N≥4, we construct a compact noncollapsed Ricci limit X of closedN-manifolds with nonnegative Ricci curvature such that0<ℋN−2(Stop(X))<∞, where Stop(X) is the nonmanifold locus.There is a compact subset Z⊂ Stop(X) of positive (N−2)-dimensionalHausdorff measure such that, for every subset E⊂ X with$\dim_{\mathcal H}E
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BibTeX
@misc{anass2026homological,
title = {{Homological obstructions to local contractibility in noncollapsed Ricci limits}},
author = {Nifa Anass},
howpublished = {HAL},
year = {2026},
month = aug,
doi = {10.5281/zenodo.22729669},
url = {https://hal.science/hal-05748042v2},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Homological obstructions to local contractibility in noncollapsed Ricci limits
AU - Nifa Anass
PY - 2026
DA - 2026/08/25
PB - HAL
DO - 10.5281/zenodo.22729669
UR - https://hal.science/hal-05748042v2
AB - For every integer N≥4, we construct a compact noncollapsed Ricci limit X of closedN-manifolds with nonnegative Ricci curvature such that0<ℋ^N−2(S_top(X))<∞, where S_top(X) is the nonmanifold locus.There is a compact subset Z⊂ S_top(X) of positive (N−2)-dimensionalHausdorff measure such that, for every subset E⊂ X with$\dim_{\mathcal H}E
ER -