A. S. Thakur

activity

20102022

most citedVector bundles over iterated suspensions of stunted real projective spaces

8 citations · 35 across the 10 of their papers we have counts for

collaborators

Showing 2012 · math.ATShow all

4 papers · 2 filters

math.AT2012★ 8 cited

Vector bundles over iterated suspensions of stunted real projective spaces

Aniruddha C. Naolekar, Ajay Singh Thakur

Let $X_{m, n}^{k} = Σ^{k} (R P^{m} / R P^{n})$ . In this note we completely determine the values of $k, m, n$ for which the total Stiefel-Whitney class $w (ξ) = 1$ for a…

math.AT2012★ 3 cited

On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds

Ajay Singh Thakur

A space $X$ is called $W$ -trivial if for every vector bundle $ξ$ over $X$ , the total Stiefel-Whitney class $W (ξ) = 1$ . In this article we shall investigate whether the suspensions o…

math.AT2012★ 3 cited

Characteristic rank of vector bundles over Stiefel manifolds

Július Korbaš, Aniruddha C. Naolekar, Ajay Singh Thakur

The characteristic rank of a vector bundle $ξ$ over a finite connected $C W$ -complex $X$ is by definition the largest integer $k$ , $0 \leq k \leq dim (X)$ , such that every coh…

math.AT2012★ 3 cited

Note on the Characteristic rank of Vector bundles

Aniruddha C. Naolekar, Ajay Singh Thakur

We define the notion of characteristic rank, $charrank_{X} (ξ)$ , of a real vector bundle $ξ$ over a connected finite $C W$ -complex $X$ . This is a bundle-dependent version of t…