A Generalization of Snaith-type Filtration

  title={A Generalization of Snaith-type Filtration},
  author={GREG ARONE},
  • Published 1998
In this paper we describe the Goodwillie tower of the stable homotopy of a space of maps from a finite-dimensional complex to a highly enough connected space. One way to view it is as a partial generalization of some wellknown results on stable splittings of mapping spaces in terms of configuration spaces. 0. Introduction It has been known for a while (see [1] for a survey article and a list of references) that given a parallelizable, compact m-dimensional manifold M with a nonempty boundary… CONTINUE READING


Publications referenced by this paper.
Showing 1-9 of 9 references

Calculus II: analytic functors, K-Theory

T. G. Goodwillie
MR 93i:55015 • 1992
View 2 Excerpts

Survey of equivariant stable homotopy theory, Topology

G. Carlsson
MR 93d:55009 • 1992
View 1 Excerpt

Calculus I: the first derivative of pseudoisotopy theory, K-Theory

T. G. Goodwillie
MR 92m:57027 • 1990
View 1 Excerpt

Weak equivalences and quasifibrations

J. P. May
MR 91m:55016 • 1990

Stable splitting of mapping spaces, Springer

C.-F. Bödigheimer
Lecture Notes, • 1987
View 2 Excerpts

Function complexes for diagrams of simplicial sets

W. G. Dwyer, D. M. Kan
Indagationes Mathematicae • 1983
View 1 Excerpt

Configuration spaces of positive and negative particles, Topology

D. McDuff
View 1 Excerpt

Categories and cohomology theories, Topology

G. Segal

The geometry of iterated loop spaces, Lecture

J. P. May
Notes in Mathematics • 1972

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