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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Image multiple point spaces and rectified homotopical depth
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by Kevin Houston PDF
Proc. Amer. Math. Soc. 126 (1998), 323-331 Request permission

Abstract:

We investigate the local topology of multiple point spaces in the image of a finite complex analytic map. In particular, we find examples of maps for which the constant sheaf on an image multiple point space of the map is perverse. These results are proved by the use of a spectral sequence which calculates the homology of the image of a continuous map.
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Additional Information
  • Kevin Houston
  • Affiliation: School of Mathematics and Statistics Middlesex University Bounds Green Road London N11 2NQ, United Kingdom
  • Email: k.houston@mdx.ac.uk
  • Received by editor(s): June 26, 1996
  • Communicated by: Ron Donagi
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 323-331
  • MSC (1991): Primary 14B15, 32S05; Secondary 32S60
  • DOI: https://doi.org/10.1090/S0002-9939-98-04446-3
  • MathSciNet review: 1459124