Classification of weakly infinite-dimensional spaces. Part I: A transfinite extension of the covering dimension

DOI10.4064/fm-130-1-1-25zbMath0661.54035OpenAlexW1140800143MaRDI QIDQ3810528

Piet Borst

Publication date: 1988

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211710

zbMATH Keywords

product theoremsum theoreminfinite dimensional metric spaces

Mathematics Subject Classification ID

Dimension theory in general topology (54F45)

Related Items (17)

On connection between some transfinite dimensions ⋮ Remarks on straight finite decomposition complexity ⋮ Classification of compacta with the property C ⋮ On metric spaces with given transfinite asymptotic dimensions ⋮ Some remarks concerning C-spaces ⋮ The dimension problem for the product of infinite-dimensional spaces ⋮ Finite-to-one mappings and large transfinite dimension ⋮ Transfinite asymptotic dimension and APD profiles ⋮ On universal spaces and absorbing sets related to a transfinite extension of covering dimension ⋮ Transfinite extension of dimension function \((m,n)\text{-}\dim\) ⋮ APD profiles and transfinite asymptotic dimension ⋮ Transfinite dimensions Ind\(_m\) ⋮ Certain classes of weakly infinite-dimensional spaces and topological games ⋮ Some classes of weakly infinite-dimensional spaces ⋮ Topological groups and covering dimension ⋮ On transfinite extension of asymptotic dimension ⋮ The stationary translationally invariant Peierls equation in radiative transfer theory in the space of slowly growing distributions, and some properties of the Peierls potential. II

This page was built for publication: Classification of weakly infinite-dimensional spaces. Part I: A transfinite extension of the covering dimension