LS-category and topological complexity of several families of fibre bundles
N Daundkar, S Sarkar - arXiv preprint arXiv:2302.00468, 2023 - arxiv.org
In this paper, we study upper bounds for the topological complexity of the total spaces of
some classes of fibre bundles. We calculate a tight upper bound for the topological …
some classes of fibre bundles. We calculate a tight upper bound for the topological …
Invariant topological complexity
W Lubawski, W Marzantowicz - Bulletin of the London …, 2015 - Wiley Online Library
We present a new approach to an equivariant version of Farber's topological complexity
called invariant topological complexity. It seems that the presented approach is more …
called invariant topological complexity. It seems that the presented approach is more …
Equivariant topological complexities
M Grant - arXiv preprint arXiv:2402.01540, 2024 - arxiv.org
Many mechanical systems have configuration spaces that admit symmetries.
Mathematically, such symmetries are modelled by the action of a group on a topological …
Mathematically, such symmetries are modelled by the action of a group on a topological …
Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces
J González, B Gutiérrez, S Yuzvinsky - 2016 - projecteuclid.org
We construct" higher" motion planners for automated systems whose spaces of states are
homotopy equivalent to a polyhedral product space Z(K,{(S^k_i,⋆)\}), eg robot arms with …
homotopy equivalent to a polyhedral product space Z(K,{(S^k_i,⋆)\}), eg robot arms with …
On the LS-category and topological complexity of projective product spaces
S Fişekci, L Vandembroucq - Journal of Homotopy and Related Structures, 2021 - Springer
Abstract We determine the Lusternik-Schnirelmann category of the projective product
spaces introduced by D. Davis. We also obtain an upper bound for the topological …
spaces introduced by D. Davis. We also obtain an upper bound for the topological …
Equivariant topological complexities
The aim of this article is to review different generalizations of the the notion of topological
complexity to the equivariant setting. In particular, we review the relation (or non-relation) …
complexity to the equivariant setting. In particular, we review the relation (or non-relation) …
LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type
K Brahma, N Daundkar, S Sarkar - arXiv preprint arXiv:2401.06680, 2024 - arxiv.org
The real torus manifolds are a generalization of small covers and generalized real Bott
manifolds. We compute the LS-category of these manifolds under some constraints and …
manifolds. We compute the LS-category of these manifolds under some constraints and …
Equivariant and Invariant Parametrized Topological Complexity
RS Arora, N Daundkar - arXiv preprint arXiv:2412.12921, 2024 - arxiv.org
For a $ G $-equivariant fibration $ p\colon E\to B $, we introduce and study the invariant
analogue of Cohen, Farber and Weinberger's parametrized topological complexity, called …
analogue of Cohen, Farber and Weinberger's parametrized topological complexity, called …
Group actions, sectional category related invariants and sequential topological complexity of fibre bundle
RS Arora, N Daundkar, S Sarkar - arXiv preprint arXiv:2410.00139, 2024 - arxiv.org
For a $ G $-space $ X $, we introduce the notion of sectional category with respect to $ G $.
We establish properties analogous to those of the classical sectional category. As a …
We establish properties analogous to those of the classical sectional category. As a …
[HTML][HTML] On LS-category and topological complexity of some fiber bundles and Dold manifolds
B Naskar, S Sarkar - Topology and its Applications, 2020 - Elsevier
On LS-category and topological complexity of some fiber bundles and Dold manifolds -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …