A van Kampen theorem for unions of non-connected spaces

DOI10.1007/BF01198133zbMath0521.57002MaRDI QIDQ1055036

Ronald Brown, Abdul Razak Salleh

Publication date: 1984

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

zbMATH Keywords

fundamental groupLebesgue covering dimensionfundamental groupoid for unions of non-connected spacesvan Kampen's theorem

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Fundamental group, presentations, free differential calculus (57M05)

Related Items (13)

The second van-Kampen theorem for topological spaces ⋮ ``Not just an idle game: the story of higher-dimensional versions of the Poincaré fundamental group ⋮ A general Seifert-van Kampen theorem for algebraic fundamental groups ⋮ Amenable category and complexity ⋮ Modelling and computing homotopy types: I ⋮ Comparison of the colimit and the 2-colimit ⋮ Fundamental Groupoids and Homotopy Types of Non-compact Surfaces ⋮ Unnamed Item ⋮ Fundamental group of homotopy colimits. ⋮ A geometric interpretation of the homotopy groups of the cobordism category ⋮ Erratum to: ``Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem ⋮ Čech closure spaces: a unified framework for discrete and continuous homotopy ⋮ On the relation between the fundamental groupoids of the classifying space and the nerve of an open cover

Cites Work

• Unnamed Item
• A van Kampen theorem
• The fundamental group of a union of spaces
• Van Kampen's Theorem for n-Stage Covers
• Groupoids and Van Kampen's Theorem
• On the van Kampen theorem

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