AbstractWe determine the Lusternik–Schnirelmann category of real Stiefel manifolds Vn,k and quaternionic Stiefel manifolds Xn,k for n⩾2k which is equal to the cup-length of the mod 2 cohomology of Vn,k and the integer cohomology of Xn,k, respectively
AbstractLet F↪X→B be a fibre bundle with structure group G, where B is (d−1)-connected and of finite...
AbstractIn the course of research into the calculus of variations, a new numerical topological invar...
In this paper, we study the growth with respect to dimension of quite general homotopy invariants Q ...
AbstractBy calculating certain generalized cohomology theory, lower bounds for the L-S category of q...
For any natural numbers $k \leq n$, the rational cohomology ring of the space of continuous maps $S^...
For any natural numbers $k \leq n$, the rational cohomology ring of the space of continuous maps $S^...
AbstractThe Lusternik–Schnirelmann π1-category, catπ1X, of a space X is the least integer k such tha...
In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these h...
AbstractFor a compact polyhedron, P, the category, cat(P), of P in the sense of Lusternik and Schnir...
AbstractThe Lusternik–Schnirelmann π1-category, catπ1X, of a topological space X is the least intege...
A well known quotient of the real Stiefel manifold is the projective Stiefel manifold. We introduce ...
The Lusternik–Schnirelmann category and topological complexity are important invariants of topologic...
AbstractThis paper presents a new method for using cup product information to draw conclusions about...
AbstractWe give a cellular decomposition of the compact connected Lie group Spin(7). We also determi...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
AbstractLet F↪X→B be a fibre bundle with structure group G, where B is (d−1)-connected and of finite...
AbstractIn the course of research into the calculus of variations, a new numerical topological invar...
In this paper, we study the growth with respect to dimension of quite general homotopy invariants Q ...
AbstractBy calculating certain generalized cohomology theory, lower bounds for the L-S category of q...
For any natural numbers $k \leq n$, the rational cohomology ring of the space of continuous maps $S^...
For any natural numbers $k \leq n$, the rational cohomology ring of the space of continuous maps $S^...
AbstractThe Lusternik–Schnirelmann π1-category, catπ1X, of a space X is the least integer k such tha...
In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these h...
AbstractFor a compact polyhedron, P, the category, cat(P), of P in the sense of Lusternik and Schnir...
AbstractThe Lusternik–Schnirelmann π1-category, catπ1X, of a topological space X is the least intege...
A well known quotient of the real Stiefel manifold is the projective Stiefel manifold. We introduce ...
The Lusternik–Schnirelmann category and topological complexity are important invariants of topologic...
AbstractThis paper presents a new method for using cup product information to draw conclusions about...
AbstractWe give a cellular decomposition of the compact connected Lie group Spin(7). We also determi...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
AbstractLet F↪X→B be a fibre bundle with structure group G, where B is (d−1)-connected and of finite...
AbstractIn the course of research into the calculus of variations, a new numerical topological invar...
In this paper, we study the growth with respect to dimension of quite general homotopy invariants Q ...
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