谷物
发表于 2025-3-28 17:27:34
The Jordan curve theorem,The purpose of this section is to prove the following.
BIPED
发表于 2025-3-28 20:01:58
Piecewise linear homeomorphisms,Let . and . be complexes. We recall, from Section 0, that a homeomorphism . is . (relative to . and .) if there is a subdivision .. of . such that for each σ ∈ .., .|σ maps σ linearly into a simplex of .. “PL” stands for piecewise linear, and “PLH” stands for PL homeomorphism, or PL homeomorphic. If .. is a subdivision of ., then we write .. < ..
vocation
发表于 2025-3-29 01:05:31
PL approximations of homeomorphisms,Let [., .] and [., .’] be metric spaces, and let .: .→Y and .: .→. be mappings. Let ε be a positive number. If for each . ∈ ., .’(.(.), .(.)) < ε, then . is an ε-. of ..
针叶类的树
发表于 2025-3-29 06:00:32
The triangulation theorem for 2-manifolds,In Rn, ‖P‖ denotes the norm of ., that is, the distance between . and the origin. Let
SEVER
发表于 2025-3-29 07:56:55
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树木中
发表于 2025-3-29 15:15:01
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Apogee
发表于 2025-3-29 17:43:00
Isotopies,Let .. and .. be mappings .→.. A . between .. and .. is a mapping . such that .(., 0) = ..(.) and .(., 1) =..(.) for every . in .. If such a . exists, then .. and .. are ..
Noisome
发表于 2025-3-29 22:39:13
Totally disconnected compact sets in ,,,The main purpose of this section is to show that every homeomorphism between two totally disconnected compact sets in .. can be extended so as to give a homeomorphism of .. onto itself.
CURB
发表于 2025-3-30 01:52:30
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藐视
发表于 2025-3-30 06:15:15
The Antoine set,Here we present the first and classical example of wild imbedding, due to Louis Antoine , . (For the definition of ., see Section 10, just after Theorem 10.4.)