Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Petar Pavešić"'
Publikováno v:
Journal of Algebra. 578:371-401
We study the relation between two uncountable groups with remarkable properties (cf. [15] ): the topological free product of infinite cyclic groups G (the fundamental group of the Hawaiian Earring), and the inverse limit of finitely generated free gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c9eb89d03a634f8093979a1393eac87
https://doi.org/10.1016/j.jalgebra.2021.02.017
https://doi.org/10.1016/j.jalgebra.2021.02.017
Autor:
Petar Pavešić
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:2013-2029
We use some detailed knowledge of the cohomology ring of real Grassmann manifolds Gk(ℝn) to compute zero-divisor cup-length and estimate topological complexity of motion planning for k-linear subspaces in ℝn. In addition, we obtain results about
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc8045d1066aebb966b8c9c5b3bd61ab
https://doi.org/10.1017/prm.2020.92
https://doi.org/10.1017/prm.2020.92
Autor:
Petar Pavešić
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 153:1071-1072
There is a problem with the proofs of [1], Lemma 4.4 and the related Theorems 4.5, 4.8 and 4.12 regarding the computation of zero-divisor cup-length of real Grassmann manifolds ${G_k({{\mathbb {R}}}^{n})}$. The correct statements and improved estimat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4617325a86fdb6a6354af0f54b0f301
https://doi.org/10.1017/prm.2022.22
https://doi.org/10.1017/prm.2022.22
In a recent publication [D. Govc, W. A. Marzantowicz and P. Pavešić, Estimates of covering type and the number of vertices of minimal triangulations, Discrete Comput. Geom. 63 2020, 1, 31–48], we have introduced a new method, based on the Lustern
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59f8e05888abe71916a29b2bb4a59bbc
http://arxiv.org/abs/2108.09853
http://arxiv.org/abs/2108.09853
Autor:
Petar Pavešić
Publikováno v:
Proceedings of the American Mathematical Society. 148:1339-1349
The Schwarz genus g ( ξ ) \mathsf {g}(\xi ) of a fibration ξ : E → B \xi \colon E\to B is defined as the minimal integer n n such that there exists a cover of B B by n n open sets that admit partial sections to ξ \xi . Many important concepts, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0cf295c8d87bb0aadd365c24b839ff6
https://doi.org/10.1090/proc/14791
https://doi.org/10.1090/proc/14791
Publikováno v:
Discrete & Computational Geometry. 63:31-48
The covering type of a space $X$ is a numerical homotopy invariant which in some sense measures the homotopical size of $X$. It was first introduced by Karoubi and Weibel (in Enseign Math 62(3-4):457-474, 2016) as the minimal cardinality of a good co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::774d724e68b4cef4ec9ee9447832a774
https://doi.org/10.1007/s00454-019-00092-z
https://doi.org/10.1007/s00454-019-00092-z
Autor:
Petar Pavešić
Publikováno v:
Homology, Homotopy and Applications. 21:107-130
We study certain topological problems that are inspired by applications to autonomous robot manipulation. Consider a continuous map $f\colon X\to Y$, where $f$ can be a kinematic map from the configuration space $X$ to the working space $Y$ of a robo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a57d993e0fd56a51744ebf0ea98470f7
https://doi.org/10.4310/hha.2019.v21.n2.a7
https://doi.org/10.4310/hha.2019.v21.n2.a7
Publikováno v:
Journal of Algebra. 516:396-400
The commutator subgroup of a free group is the subgroup consisting of elements contained in the kernel of every homomorphism from the free group to the integers. We give a similar characterization of the second derived subgroup of a free group. Speci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c018d260472b0a544906a18dd1ded01d
https://doi.org/10.1016/j.jalgebra.2018.09.024
https://doi.org/10.1016/j.jalgebra.2018.09.024
Publikováno v:
Topol. Methods Nonlinear Anal. 56, no. 2 (2020), 501-518
In this paper we use recently developed methods to compute a lower bound for the number of simplices that are needed to triangulate the Grassmann manifold $\G_k(\mathbb{R}^n)$. We first estimate the number of vertices that are needed for such a trian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e87c4721ba928af1f61d82d75567594c
Autor:
Petar Pavešić
Publikováno v:
Topological Complexity and Related Topics. :61-83
In this paper we combine a survey of the most important topological properties of kinematic maps that appear in robotics, with the exposition of some basic results regarding the topological complexity of a map. In particular, we discuss mechanical de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ac080976ef16069079abd97fb596c86
https://doi.org/10.1090/conm/702/14107
https://doi.org/10.1090/conm/702/14107