Nielsen–Borsuk–Ulam number for maps between tori

نویسندگان

چکیده

We compute the Nielsen–Borsuk–Ulam number for any selfmap of $$n-$$ torus, $$\mathbb {T}^n$$ , as well free involution $$\tau $$ in with $$n \leqslant 3$$ . Finally, we conclude that tori, {T}^1$$ {T}^2$$ and {T}^3$$ are Wecken spaces theory. Such a is lower bound minimal pair points such $$f(x)=f(\tau (x))$$ given homotopy class maps.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Equivariant maps between sphere bundles over tori and KO ∗ - degree

We show a non-existence result for some class of equivariant maps between sphere bundles over tori. The notion of equivariant KO *-degree is used in the proof. As an application we have an inequality b + 2 (X) ≥ −sign (X)/8 + c(X) + ε(X) for a 4-dimensional connected closed oriented spin manifold X whose intersection form is indefinite, where c(X) is a non-negative integer determined by the cup...

متن کامل

Tame Sets, Dominating Maps, and Complex Tori

A discrete subset of Cn is said to be tame if there is an automorphism of Cn taking the given discrete subset to a subset of a complex line; such tame sets are known to allow interpolation by automorphisms. We give here a fairly general sufficient condition for a discrete set to be tame. In a related direction, we show that for certain discrete sets in Cn there is an injective holomorphic map f...

متن کامل

Higher Tori in Volume-Preserving Maps

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

متن کامل

Juntas in the ℓ1-grid and Lipschitz maps between discrete tori

We show that if A ⊂ [k], then A is -close to a junta depending upon at most exp(O(|∂A|/(kn−1 ))) coordinates, where ∂A denotes the edgeboundary of A in the `-grid. This is sharp up to the value of the absolute constant in the exponent. The result can be seen as a generalisation of the Junta theorem for the discrete cube, from [6], or as a characterization of large subsets of the ` grid whose bo...

متن کامل

Existence of invariant tori in three dimensional maps with degeneracy

We prove a KAM-type result for the persistence of two-dimensional invariant tori in perturbations of integrable action-angle-angle maps with degeneracy, satisfying the intersection property. Such degenerate action-angleangle maps arise upon generic perturbation of three-dimensional volumepreserving vector fields, which are invariant under volume-preserving action of S1 when there is no motion i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Fixed Point Theory and Applications

سال: 2023

ISSN: ['1661-7746', '1661-7738']

DOI: https://doi.org/10.1007/s11784-023-01065-9