Stable Homotopy Theory over a Fixed Base Space

نویسندگان

  • BY C. A. ROBINSON
  • Glen E. Bredon
  • J. F. McClendon
چکیده

A spectral sequence which may be regarded as an 'Adams spectral sequence over a fixed space 2?' has been constructed by J. F. McClendon [6] and J.-P. Meyer [8]. This note describes a generalization in which there is no need for any orientability assumptions. The construction is carried out in a suitable stable category, which may be of independent interest. An application to the enumeration of immersions is given. Details will appear elsewhere.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

When are two commutative C*-algebras stably homotopy equivalent?

The purpose of this paper is to investigate the homotopy theory of C*algebras of the formC0(X)⊗K, whereX is a finite connected CWcomplex with base point; hereC0(X) is theC*-algebra of continuous complex-valued functions which vanish at the base point, K is the C*-algebra of compact operators on a separable infinite dimensional complex Hilbert space, and a homotopy between two C*-algebra maps is...

متن کامل

Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result

In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.

متن کامل

ar X iv : m at h / 04 11 65 6 v 1 [ m at h . A T ] 3 0 N ov 2 00 4 Parametrized Homotopy Theory

Part I: We set the stage for our homotopical work with preliminary chapters on the point-set topology necessary to parametrized homotopy theory, the base change and other functors that appear in over and under categories, and generalizations of several classical results about equivariant bundles and fibrations to the context of proper actions of non-compact Lie groups. Part II: Despite its long...

متن کامل

The Topology of the Space of Strictly Stable Representations of a Quiver

The purpose of this paper is to describe the topology of the space of strictly stable representations of a quiver with fixed dimension vector, where stability is defined with respect to a given parameter (which may be generic or non-generic). The main result is that the homotopy groups of this space are trivial up to a certain dimension, which depends on the quiver, the choice of dimension vect...

متن کامل

Existence of Rational Points as a Homotopy Limit Problem

We show that the existence of rational points on smooth varieties over a field can be detected using homotopy fixed points of étale topological types under the Galois action. As our main example we show that the surjectivity statement in Grothendieck’s Section Conjecture would follow from the surjectivity of the map from fixed points to continuous homotopy fixed points on the level of connected...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007