Abstract
In this section we consider the group [A,ΩX] of homotopy classes of maps of the space A into the loop space ΩX and the homomorphisms f*: [B,ΩX] → [A,ΩX] induced by a continuous map f: A → B. We deal only with spaces with base points and maps and homotopies that preserve base points. Furthermore, it is assumed that all spaces have the homotopy type of connected CW-complexes with finitely generated homology and homotopy groups in each dimension.
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© 1964 Springer-Verlag Berlin Heidelberg
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Arkowitz, M., Curjel, C.R. (1964). The Groups [A,ΩX] and Their Homomorphisms. In: Groups of Homotopy Classes. Lecture Notes in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-15913-2_3
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DOI: https://doi.org/10.1007/978-3-662-15913-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-15915-6
Online ISBN: 978-3-662-15913-2
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