by Vasilʹev, Valerij Aleksandrovič, Vasilev, Vladislav Andreevič, Mathematiker, Russland, Vasilev, Vladislav Andreevič, Mathematician, Russia, Vasilev, Vladislav Andreevič, Mathématicien, Russie
fromTranslations of mathematical monographs
The semi-stable homotopy groups of a topological space [italic]X are the unstable homotopy groups [lowercase Greek]Pi [subscript]*[capital Greek]Sigma[superscript]n[italic]X, [italic]n [greater than symbol] 0, of the suspensions of [italic]X. This monograph is concerned with com…
In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibra…
The homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in sm…
This paper develops a new invariant of a CW-complex called the m-structure and uses it to perform homotopy-theoretic computations. The m-structure of a space encapsulates the coproduct structure, as well as higher-coproduct structures that determine Steenrod-operations. Given an…
The purpose of this paper is to present a totally new approach to homology operations on [italic capitals]QS⁰ including their foundations and some applications. One strategy is to deduce relations among the various operations as consequences of similar relations among various op…
