Multiple points of immersed manifolds

DOI10.1090/memo/0250zbMath0493.57012OpenAlexW4205229524MaRDI QIDQ3956101

R. J. Herbert

Publication date: 1981

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0250

zbMATH Keywords

homological intersection theoryhomology classes carried by the multiple point loci of a generic immersionlocus of m-fold selfintersectionsm- fold point locustransverse cohomology class

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Immersions in differential topology (57R42) Singular homology and cohomology theory (55N10) Products and intersections in homology and cohomology (55N45)

Related Items (18)

A remark on the separation by immersions in codimension 1 ⋮ Separation by a codimension-1 map with a normal crossing point ⋮ Betti numbers of curves and multiple-point loci ⋮ Triple points of immersed surfaces in three dimensional manifolds ⋮ Recovering the homology of immersed manifolds ⋮ Local coefficients and the Herbert formula ⋮ Singularities and stable homotopy groups of spheres. II ⋮ Bordism groups of immersions and classes represented by self-intersections ⋮ Separation properties of continuous maps in codimension 1 and geometrical applications ⋮ A note on separation properties of codimension-1 immersions with normal crossings ⋮ Cubulations, immersions, mappability and a problem of habegger ⋮ On double points of immersed surfaces ⋮ Projected and near-projected embeddings ⋮ Generalization of the Whitney-Mahowald Theorem ⋮ Note on double points of immersions ⋮ Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles ⋮ The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\) ⋮ Bordism classes represented by multiple point manifolds of immersed manifolds

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