Zobrazeno 1 - 10
of 59
pro vyhledávání: '"55Q20"'
Autor:
Mannan, Wajid, O'Shea, Seamus
Publikováno v:
Algebr. Geom. Topol. 13 (2013), Issue 6, pp. 3287-3304
We show that cancellation of free modules holds in the stable class $\Omega_3(\mathbb{Z})$ over dihedral groups of order $4n$. In light of a recent result on realizing $k$-invariants for these groups, this completes the proof that all all dihedral gr
Externí odkaz:
http://arxiv.org/abs/2308.12920
Autor:
Mannan, Wajid
Publikováno v:
Bulletin of the London Mathematical Society 40 (2008), Issue 4, pp. 664-674
Given a connected 2-complex X with fundamental group G, we show how pi_3(X) may be computed as a module over Z[G]. Further we show that if X is a finite connected 2-complex with G (the fundamental group) finite of odd order, then the stable class of
Externí odkaz:
http://arxiv.org/abs/2308.12905
Autor:
Mohareri, Mojtaba, Mashayekhy, Behrooz
In this paper, we present upper bounds for the depth of some classes of polyhedra, including: polyhedra with finite fundamental group, polyhedra $P$ with abelian or free $\pi_1(P)$ and finitely generated $H_i(tilde{P};\mathbb{Z}$, 2-dimensional polyh
Externí odkaz:
http://arxiv.org/abs/2307.15891
Autor:
Babaee, Ameneh, Mashayekhy, Behrooz, Mirebrahimi, Hanieh, Torabi, Hamid, Pashaei, Mahdi Abdullahi Rashid nad Seyyed Zeynal
Publikováno v:
BABAEE A, MASHAYEKHY B, MIREBRAHIMI H, TORABI H, RASHID M, PASHAEI S (2020). On topological homotopy groups and relation to Hawaiian groups. Hacettepe Journal of Mathematics and Statistics, 49(4), 1437 - 1449. 10.15672/hujms.565367
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:
http://arxiv.org/abs/2209.07195
In this paper, we introduce a kind of homology which we call Hawaiian homology to study and classify pointed topological spaces. The Hawaiian homology group has advantages of Hawaiian groups. Moreover, the first Hawaiian homology group is isomorphic
Externí odkaz:
http://arxiv.org/abs/2209.06497
Autor:
Stelzer, Manfred
We show that a version of the cube axiom holds in cosimplicial unstable coalgebras and cosimplicial spaces equipped with a resolution model structure. As an application, classical theorems in unstable homotopy theory are extended to this context.
Externí odkaz:
http://arxiv.org/abs/2110.09119
Autor:
Brazas, Jeremy
A space $X$ is "sequentially $n$-connected" at $x\in X$ if for every $0\leq k\leq n$ and sequence of maps $f_1,f_2,f_3,\dots:S^k\to X$ that converges toward a point $x\in X$, the maps $f_m$ contract by a sequence of null-homotopies that converge towa
Externí odkaz:
http://arxiv.org/abs/2103.13456
Autor:
Brazas, Jeremy
Publikováno v:
Topology and its Applications 287 (2020) 107446
In this paper, we formalize the sense in which higher homotopy groups are "infinitely commutative." In particular, we both simplify and extend the highly technical procedure, due to Eda and Kawamura, for constructing homotopies that isotopically rear
Externí odkaz:
http://arxiv.org/abs/2006.08738
We investigate the exponents of the total Cohen groups $[\Omega(\mathbb S^{r+1}), \Omega(Y)]$ for any $r\ge 1$. In particular, we show that for $p\ge 3$, the $p$-primary exponents of $[\Omega(\mathbb S^{r+1}), \Omega(\mathbb S^{2n+1})]$ and $[\Omega(
Externí odkaz:
http://arxiv.org/abs/1809.09768
Autor:
Corson, Samuel M.
Publikováno v:
J. Algebra 523 (2019), 34-52
We show a dichotomy for groups of cardinality less than continuum. The number of homomorphisms from the Hawaiian earring group to such a group $G$ is either the cardinality of $G$ in case $G$ is noncommutatively slender, or the number is $2^{2^{\alep
Externí odkaz:
http://arxiv.org/abs/1801.09505