Skip to main content
×
Home
    • Aa
    • Aa

Ramified coverings, orbit projections and symmetric powers

  • Albrecht Dold (a1)
Abstract

L. Smith, in a recent paper [11], studied a class of maps X →Y which he called ramified coverings. Roughly speaking, these are maps with a multiple-valued inverse Y → SPdX; cf. 1·1. He showed that X → X/G is a ramified covering whenever a finite group G acts on X. Using results of [4] on infinite symmetric powers SPX of CW-complexes X he obtained transfer homomorphisms .

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[3] A. Dold . Homology of symmetric products and other functors of complexes. Ann. of Math. 68 (1958), 5480.

[4] A. Dold and R. Thom . Quasifaserungen und unendliche symmetrische Produkte. Ann. of Math. 67 (1958), 239281.

[5] R. P. Jerrard . Homology with multiple-valued functions applied to fixed points. Trans. AMS 213 (1975), 407427.

[6] D. S. Kahn and S. B. Priddy . Transfer and stable homotopy theory. Bull. AMS 78 (1972), 981987.

[7] S. Maxwell . Fixed points of symmetric product mappings. Proc. AMS 8 (1957), 808815.

[9] D. Puppe . A theorem on semi-simplicial monoid complexes. Ann. of Math. 70 (1959), 379394.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 4 *
Loading metrics...

Abstract views

Total abstract views: 33 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.