AbstractWe describe a method for the computation of the group of automorphisms AutC(X×Y) of a product object in an arbitrary category C, when some special properties are satisfied. This method is then applied to the computation of the group of self fibre homotopy equivalences of a fibred product. Some typical examples are considered
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Given a homomorphism of groups f : G → H, we construct a topological space Xf such that its group of...
Abstract. In this paper, we extend the concept of the group E(X) of self homotopy equivalences of a ...
Let ξ = (E, p,B, F) be a Hurewicz fibration. In this paper we study the space LG(ξ) consisting of fi...
AbstractLet N⩾dim(X) and let Aut♯N(X) denote the group of homotopy classes of self-maps of X, which ...
AbstractLet N⩾dim(X) and let Aut♯N(X) denote the group of homotopy classes of self-maps of X, which ...
Abstract. The aim of the paper is to compute the groups of self-homotopy equivalences of equivariant...
AbstractThis work properly belongs to combinatorial group theory. But in its motivation and applicat...
Abstract. Let $G $ be a compact connected Lie group which is not a torus and let $T$ be a maximal to...
AbstractGiven F↪E→B a fibration we consider the group E♯(E,B) of self fibre homotopy equivalences wh...
AbstractFix a prime p. A mod-p homotopy group extension of a group π by a group G is a fibration wit...
The symmetric automorphism group of a free product is a group rich in algebraic structure and with s...
X with respect to self-homotopy equivalences, (X having the homotopy type of a CW complex). In this ...
A combinatorial summation identity over the lattice of labelled hypertrees is established that allow...
ABSTRACT. Computation of the homotopy groups of the topological monoid of free self-homotopy equival...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Given a homomorphism of groups f : G → H, we construct a topological space Xf such that its group of...
Abstract. In this paper, we extend the concept of the group E(X) of self homotopy equivalences of a ...
Let ξ = (E, p,B, F) be a Hurewicz fibration. In this paper we study the space LG(ξ) consisting of fi...
AbstractLet N⩾dim(X) and let Aut♯N(X) denote the group of homotopy classes of self-maps of X, which ...
AbstractLet N⩾dim(X) and let Aut♯N(X) denote the group of homotopy classes of self-maps of X, which ...
Abstract. The aim of the paper is to compute the groups of self-homotopy equivalences of equivariant...
AbstractThis work properly belongs to combinatorial group theory. But in its motivation and applicat...
Abstract. Let $G $ be a compact connected Lie group which is not a torus and let $T$ be a maximal to...
AbstractGiven F↪E→B a fibration we consider the group E♯(E,B) of self fibre homotopy equivalences wh...
AbstractFix a prime p. A mod-p homotopy group extension of a group π by a group G is a fibration wit...
The symmetric automorphism group of a free product is a group rich in algebraic structure and with s...
X with respect to self-homotopy equivalences, (X having the homotopy type of a CW complex). In this ...
A combinatorial summation identity over the lattice of labelled hypertrees is established that allow...
ABSTRACT. Computation of the homotopy groups of the topological monoid of free self-homotopy equival...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Given a homomorphism of groups f : G → H, we construct a topological space Xf such that its group of...
Abstract. In this paper, we extend the concept of the group E(X) of self homotopy equivalences of a ...
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