Temat: borsuk - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Equivariant maps of joins of finite G-sets and an application to critical point theory
Autorzy:: Rozpłoch-Nowakowska, Danuta
Powiązania:: https://bibliotekanauki.pl/articles/1312198.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: join
group actions
Borsuk's Antipodal Theorem
critical points
Opis:: A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function $f:S^n → ℝ$, where G is a finite nontrivial group acting freely and orthogonally on $ℝ^{n+1} \ {0}$. Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk's Antipodal Theorem for equivariant maps of joins of G-sets.
Źródło:: Annales Polonici Mathematici; 1991-1992, 56, 2; 195-211
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Multiplicative counterpart of the essentially additive Borsuk-Ulam theorem as the pivoting gateway to equidimensional paired dual reciprocal spaces
Autorzy:: Czajko, Jakub
Powiązania:: https://bibliotekanauki.pl/articles/1031786.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Borsuk-Ulam theorem
dual multispatial structures
multispatial mathematical reality
Opis:: Multiplicative counterpart of the essentially additive Borsuk-Ulam theorem is proposed as abstract guiding principle suitable for explanation of intricate mathematical – that is both operational/algebraic and structural/geometric – relationships existing between spaces of equal dimensionality forming dual multispatial structures, which comprise twin equidimensional dual reciprocal spaces. Under auspices of the multispatial reality paradigm, the multiplicatively inversive type of the Borsuk-Ulam theorem can thus be also interpreted as an interspatial pivoting gateway between paired dual reciprocal spaces.
Źródło:: World Scientific News; 2020, 150; 118-131
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The fixed-point property for deformations of tree-like continua
Autorzy:: Hagopian, Charles
Powiązania:: https://bibliotekanauki.pl/articles/1205393.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: fixed point
arc-component
deformation
tree-like continuum
Borsuk ray
dog-chases-rabbit argument
Opis:: Let f be a map of a tree-like continuum M that sends each arc-component of M into itself. We prove that f has a fixed point. Hence every tree-like continuum has the fixed-point property for deformations (maps that are homotopic to the identity). This result answers a question of Bellamy. Our proof resembles an old argument of Brouwer involving uncountably many tangent curves. The curves used by Brouwer were originally defined by Peano. In place of these curves, we use rays that were originally defined by Borsuk.
Źródło:: Fundamenta Mathematicae; 1998, 155, 2; 161-176
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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