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Spaces Universal under Closed Embeddings for Finite‐Dimensional Complete Metric Spaces
Author(s) -
Waśko Anna
Publication year - 1986
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/18.3.293
Subject(s) - mathematics , metric space , metric (unit) , space (punctuation) , pure mathematics , metric map , combinatorics , discrete mathematics , injective metric space , computer science , operations management , economics , operating system
We shall prove that for every natural number n and every cardinal number τ ⩾ ω there exists an n ‐dimensional complete metric space X n,τ of weight τ such that every n ‐dimensional complete metric space of weight τ is embeddable in X n,τ as a closed subset.