Tree self-embeddings
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 30-33
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Elementary proofs are given of the following two statements: (1) Every infinite tree of height at most ω properly embeds into itself. (2) There is a tree of height ω + 1 that does not properly embed into itself.
Ross, David. Tree self-embeddings. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 30-33. doi: 10.4153/CMB-1989-005-7
@article{10_4153_CMB_1989_005_7,
author = {Ross, David},
title = {Tree self-embeddings},
journal = {Canadian mathematical bulletin},
pages = {30--33},
year = {1989},
volume = {32},
number = {1},
doi = {10.4153/CMB-1989-005-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-005-7/}
}
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