A hierarchy of maps between compacta
DOI10.2307/2586802zbMath0962.03024arXivmath/9704205OpenAlexW2109826507MaRDI QIDQ4948532
Publication date: 4 June 2001
Published in: Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9704205
continuumultraproductinverse systemcompactumultracoproductlimit mapsco-existential mapcategory of compact Hausdorff spaces and continuous mapsco-elementarymap of level \(\geq \alpha\)
Continua and generalizations (54F15) Compactness (54D30) Unicoherence, multicoherence (54F55) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dimension theory in general topology (54F45) Spectra in general topology (54B35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Ultraproducts and related constructions (03C20)
Related Items (6)
Cites Work
- Nonstandard hulls of Banach spaces
- Every two elementarily equivalent models have isomorphic ultrapowers
- Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups
- Lattices and topological spaces
- Reduced coproducts of compact Hausdorff spaces
- Co-elementary equivalence, co-elementary maps, and generalized arcs
- More on Compact Hausdorff Spaces and Finitary Duality
- Unnamed Item
- Unnamed Item
This page was built for publication: A hierarchy of maps between compacta