Higher Invariants for Spaces and Maps
For a pointed topological space X, we use an inductive construction of a simplicial resolution of X by wedges of spheres to construct a “higher homotopy structure” for X (in terms of chain complexes of spaces). This structure is then used to define a collection of higher homotopy invariants which suffice to recover X up to weak equivalence. It can also be used to distinguish between different maps f : X→Y which induce the same morphism f* : π*X→π*Y.
Find the version of record at https://doi.org/10.2140/agt.2021.21.2425
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Work Title | Higher Invariants for Spaces and Maps |
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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | October 31, 2021 |
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Deposited | April 04, 2022 |
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