A closed simplicial model category for proper homotopy and shape theories

DOI10.1017/S0004972700031610zbMath0907.55017WikidataQ125877224 ScholiaQ125877224MaRDI QIDQ4399427

Mónica García Pinillos, Jose M. García-Calcines, Louis Javier Hernandez Paricio

Publication date: 2 March 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

shape theoryWhitehead theoremclosed simplicial model categoryQuigley sequence

Mathematics Subject Classification ID

Homotopy theory (55P99) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Shape theory (55P55)

Related Items (11)

\(S\)-types of global towers of spaces and exterior spaces ⋮ On proper and exterior sequentiality ⋮ Classification of exterior and proper fibrations ⋮ A remark on proper partitions of unity ⋮ The Ganea conjecture in proper homotopy via exterior homotopy theory ⋮ Sequential homology ⋮ Category with a natural cone ⋮ Exact sequences and closed model categories ⋮ Fundamental groups and finite sheeted coverings ⋮ Postnikov factorizations at infinity ⋮ Brown representability for exterior cohomology and cohomology with compact supports

Cites Work

• Cech and Steenrod homotopy and the Quigley exact couple in strong shape and proper homotopy theory
• Cech and Steenrod homotopy theories with applications to geometric topology
• Über die Enden topologischer Räume und Gruppen
• Cellular spaces, null spaces and homotopy localization
• Stability results for topological spaces
• Homotopical algebra
• Rational homotopy theory
• A theoretical framework for proper homotopy theory
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A closed simplicial model category for proper homotopy and shape theories