Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\)

DOI10.1016/S0022-4049(00)00093-1zbMath0976.55004MaRDI QIDQ5939618

Shuichi Tsukuda

Publication date: 2 January 2002

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

zbMATH Keywords

classifying spacehomotopy typegauge group

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Function spaces in general topology (54C35)

Related Items (6)

Self-closeness numbers of rational mapping spaces ⋮ A note on homotopy types of connected components of Map \((S^4, BSU(2))\) ⋮ Criteria for components of a function space to be homotopy equivalent ⋮ SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS ⋮ Splitting of gauge groups ⋮ Homotopy pullback of \(A_n\)-spaces and its applications to \(A_n\)-types of gauge groups

Cites Work

• Unnamed Item
• Odd primary torsion in \(\pi_k(S^3)\)
• 4-manifolds \(X\) over \(BS\text{U}(2)\) and the corresponding homotopy types Map\((X,BS\text{U}(2))\)
• A remark on the homotopy type of the classifying space of certain gauge groups
• Counting Homotopy Types of Gauge Groups
• A note on the homotopy type of certain gauge groups
• On the cohomology of the classifying space of the gauge group over some 4-complexes
• The Yang-Mills equations over Riemann surfaces
• On the ‘Classifying Space’ Functor for Compact Lie Groups
• Applications of Bundle Map Theory

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