Morales theorem extension for sectional-hyperbolic attractors

Let a sectional-hyperbolic attracting set be C1C^1 close to a sectional-hyperbolic attractor, with no dimensional restrictions; equivalently, allow any combination of stable and center-unstable dimensions satisfying ds1d_s\geq 1 and dcu2d_{cu}\geq 2. Sectional-hyperbolic Morales extension conjecture. The statement of Theorem~ also holds for these attracting sets. The proposal extends the cited three-dimensional result to arbitrary allowed stable and center-unstable dimensions; its validity is not established in the supplied text.

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Primary source

Vitor Araujo, “On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets”, arXiv:2204.10084 (2022).

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