Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Ameneh Babaee"'
Publikováno v:
Mathematica Slovaca. 72:1017-1030
In this paper, we study some properties of homotopical closeness for paths. We define the quasi-small loop group as the subgroup of all classes of loops that are homotopically close to null-homotopic loops, denoted by π 1 q s ( X , x ) $\pi_1^{qs} (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb4125d12ed37a4354ec228c20da4961
https://doi.org/10.1515/ms-2022-0071
https://doi.org/10.1515/ms-2022-0071
Autor:
Ameneh Babaee, Hanieh Mirebrahimi, Behrooz Mashayekhy, Mahdi Abdullahi Rashid, Hamid Torabi, Seyyed Zeynal Pashaei
Publikováno v:
Volume: 49, Issue: 4 1437-1449
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
By generalizing the whisker topology on the $n$th homotopy group of pointed space $(X, x_0)$, denoted by $\pi_n^{wh}(X, x_0)$, we show that $\pi_n^{wh}(X, x_0)$ is a topological group if $n \ge 2$. Also, we present some necessary and sufficient condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e47a06fdad1c1168c4c194304856098
Publikováno v:
Mediterranean Journal of Mathematics. 17
We define small n-Hawaiian loop as a special case of small pointed map, and study the group consisting of classes of small n-Hawaiian loops, $${\mathcal {H}}_n^s(X, x_0)$$ . As an example of spaces with non-trivial small 1-Hawaiian loops, we present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b11ab5954d4e7c22338c243955be95a
https://doi.org/10.1007/s00009-020-01640-1
https://doi.org/10.1007/s00009-020-01640-1
Publikováno v:
Topology and its Applications. 306:107920
We study Hawaiian groups of the infinite dimensional Hawaiian earring which is the weak join of all finite dimensional Hawaiian earrings. We show that the structure of the 1st Hawaiian groups of the infinite dimensional Hawaiian earring and the one d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6ce7a28bd07dff312c4c3803af7fc9f
https://doi.org/10.1016/j.topol.2021.107920
https://doi.org/10.1016/j.topol.2021.107920
Publikováno v:
Topology and its Applications. 241:252-262
The paper is devoted to study the $n$th Hawaiian group $\mathcal{H}_n$, $n \ge 1$, of the wedge sum of two spaces $(X,x_*) = (X_1, x_1) \vee (X_2, x_2)$. Indeed, we are going to give some versions of the van Kampen theorem for Hawaiian groups of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51518b69ce9bdefaa7439bdd67232020
https://doi.org/10.1016/j.topol.2018.04.005
https://doi.org/10.1016/j.topol.2018.04.005