Abstract
In this chapter, we overview the main results and properties of the (co)homology of manifolds, and show in examples that these results fail to be true for singular spaces. This motivates the use of intersection homology, which recovers the corresponding results in the singular context.
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Maxim, L.G. (2019). Topology of Singular Spaces: Motivation, Overview. In: Intersection Homology & Perverse Sheaves. Graduate Texts in Mathematics, vol 281. Springer, Cham. https://doi.org/10.1007/978-3-030-27644-7_1
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DOI: https://doi.org/10.1007/978-3-030-27644-7_1
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