Image multiple point spaces

and rectified homotopical depth

Author:
Kevin Houston

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

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9939-98-04446-3

Keywords:
Image computing spectral sequence,
image multiple point space,
perverse sheaf,
singularity

Received by editor(s):
June 26, 1996

Communicated by:
Ron Donagi

Article copyright:
© Copyright 1998
American Mathematical Society