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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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3 results for “Z-compactifiability”

On Z-compactifiability of manifoldsmath.GT

Guilbault and author prove sufficient conditions for $\mathcal{Z}$ -compactifiability of certain manifolds.

problem Establishing sufficient conditions for

\mathcal{Z}

-compactifiability of manifolds.

method Introducing additional conditions to prove

\mathcal{Z}

-compactifiability of

M^n imes [-2,2]

implies

\mathcal{Z}

-compactifiability of

M^n

result There exist infinitely many non-pseudo-collarable 4-manifolds which are

\mathcal{Z}

-compactifiable.

Z-compactifiability manifolds Hilbert cube sufficient conditions topological rigidity

2023-12-05abs ↗pdf ↗

\mathcal{Z}

-compactifiable manifolds which are not pseudo-collarablemath.GT

New examples show manifolds with noncompact boundaries that can't be pseudo-collarable.

problem Identifying manifolds with noncompact boundaries that cannot be pseudo-collarable.

method Provided examples of

\mathcal{Z}

-compactifiable manifolds with noncompact boundaries that fail to be pseudo-collarable.

result Found manifolds with noncompact boundaries that cannot be pseudo-collarable.

manifolds pseudo-collarability noncompact boundaries Z-compactification

2020-08-27abs ↗pdf ↗

Compactifications of manifolds with boundarymath.GT

This paper is concerned with "nice" compactifications of manifolds. Siebenmann's iconic dissertation characterized open manifolds M^m (m>5) compactifiable by addition of a manifold boundary. His theorem extends easily to cases where M^m is noncompact with compact boundary; however, when Bd(M^m) is noncompact, the situa…

2017-12-16abs ↗pdf ↗