Some applications of lattice theory to shape theory

DOI10.1007/BF01192001zbMath0578.55007MaRDI QIDQ1066514

Peter Mrozik

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

complement theoremshomotopy theory for the category of latticesstrong shape category of compact Z-sets in the Hilbert cube

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Topology of infinite-dimensional manifolds (57N20) Shape theory (55P55) Lattices (06B99)

Related Items (1)

Density and finiteness. A discrete approach to shape

Cites Work

• Chapman's complement theorem in shape theory: A version for the infinite product of lines
• Chapman's classification of shapes. A proof using collapsing
• Cech and Steenrod homotopy theories with applications to geometric topology
• Chapman's category isomorphism for arbitrary ARs
• Embeddings of Compacta with Shape Dimension in the Trivial Range
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some applications of lattice theory to shape theory