A note on homotopy types of connected components of Map \((S^4, BSU(2))\)

DOI10.1016/j.jpaa.2011.10.020zbMath1246.55007arXiv1101.4278OpenAlexW1511984849MaRDI QIDQ425285

Mitsunobu Tsutaya

Publication date: 8 June 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4278

zbMATH Keywords

connected componentsclassifying spacehomotopy typegauge group\(A_n\)-typebundle mapprincipal \(G\) bundle

Mathematics Subject Classification ID

Classification of homotopy type (55P15) (H)-spaces and duals (55P45) Function spaces in general topology (54C35) Fiber bundles in algebraic topology (55R10)

Related Items (2)

Corrigendum to: ``Homotopy pullback of \(A_{n}\)-spaces and its applications to \(A_{n}\)-types of gauge groups ⋮ Homotopy pullback of \(A_n\)-spaces and its applications to \(A_n\)-types of gauge groups

Cites Work

• On the suspension sequence
• Odd primary torsion in \(\pi_k(S^3)\)
• Counting Homotopy Types of Gauge Groups
• Finiteness of A _n -equivalence types of gauge groups
• A note on the homotopy type of certain gauge groups
• A Story of Binomial Coefficients and Primes
• Applications of Bundle Map Theory
• Homotopy Associativity of H-Spaces. I
• Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\)

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