Transfinite product reduction in fundamental groupoids

DOI10.1007/s40879-020-00413-0zbMath1470.57043arXiv2001.06733OpenAlexW3034325473MaRDI QIDQ2024088

Jeremy Thomas Brazas

Publication date: 3 May 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06733

zbMATH Keywords

fundamental groupoidhomotopy cut setinfinitary operationscattered producttransfinite product

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Homotopy groups of special spaces (55Q52) Infinitary algebras (08A65)

Related Items (1)

INFINITARY COMMUTATIVITY AND ABELIANIZATION IN FUNDAMENTAL GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces.
• The \(D\)-topology for diffeological spaces
• On semilocally simply connected spaces
• On small homotopies of loops
• Free \(\sigma\)-products and noncommutatively slender groups
• The fundamental groups of one-dimensional spaces
• Free subgroups of the fundamental group of the Haiwaiian earring
• The combinatorial structure of the Hawaiian earring group
• Homomorphisms of fundamental groups of planar continua
• Fundamental groups of locally connected subsets of the plane
• The fundamental groups of one-dimensional spaces and spatial homomorphisms
• Dense products in fundamental groupoids
• On the fundamental groups of one-dimensional spaces
• Archipelago groups
• Singular homology groups of one-dimensional Peano continua
• Homotopy types of one-dimensional Peano continua
• Anomalous behavior of the Hawaiian earring group
• Scattered products in fundamental groupoids
• Test map characterizations of local properties of fundamental groups
• A convenient category for directed homotopy
• Generalized universal covering spaces and the shape group

This page was built for publication: Transfinite product reduction in fundamental groupoids