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Embedding Spaces of Finite Length in R 3
Author(s) -
Fremlin D. H.
Publication year - 1994
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/49.1.150
Subject(s) - embedding , metric space , space (punctuation) , mathematics , metric (unit) , measure (data warehouse) , discrete mathematics , pure mathematics , combinatorics , computer science , artificial intelligence , engineering , operations management , database , operating system
I refine a theorem from [ 3 ] to show that if ( X , ρ) is any metric space of finite length, it can be embedded in a compact connected subset of R 3 of finite length in such a way as to preserve the measure µ ρ
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