Temat: homology theory - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Algebraic construction of a coboundary of a given cycle
Autorzy:: Mazur, M.
Szybowski, J.
Powiązania:: https://bibliotekanauki.pl/articles/255494.pdf
Data publikacji:: 2007
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: algorithm
homology theory
cycle
coboundary
Opis:: We present an algebraic construction of the coboundary of a given cycle as a simpler alternative to the geometric one introduced in [4, 5].
Źródło:: Opuscula Mathematica; 2007, 27, 2; 291-300
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The S1-CW decomposition of the geometric realization of a cyclic set
Autorzy:: Fiedorowicz, Zbigniew
Gajda, Wojciech
Powiązania:: https://bibliotekanauki.pl/articles/1208492.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: cyclic set
$S^1-CW$ complex
equivariant homology theory
Opis:: We show that the geometric realization of a cyclic set has a natural, $S^1$-equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and $S^1$-equivariant Borel homology of its geometric realization.
Źródło:: Fundamenta Mathematicae; 1994, 145, 1; 91-100
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The Vietoris system in strong shape and strong homology
Autorzy:: Günther, Bernd
Powiązania:: https://bibliotekanauki.pl/articles/1214990.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: vietoris nerve
Steenrod homotopy category
strong shape theory
strong homology
compact supports
Opis:: We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology.
Źródło:: Fundamenta Mathematicae; 1992, 141, 2; 147-168
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: An application of persistent homology and the graph theory to linguistics: The case of Tifinagh and Phoenician scripts
Autorzy:: Bouazzaoui, Hajar
Elomary, Mohamed Abdou
Mamouni, My Ismail
Powiązania:: https://bibliotekanauki.pl/articles/1827549.pdf
Data publikacji:: 2021-09-06
Wydawca:: Główny Urząd Statystyczny
Tematy:: topological data analysis
persistent homology
graph theory
writing systems
Abjad scripts
Alphabet scripts
Tifinagh script
Phoenician script
Opis:: As the origin of the Tifinagh script remains uncertain, this work aims at exploring its probable relatedness with the Phoenician script. Using tools from within topological data analysis and graph theory, the similarity between the two scripts is studied. The clustering of their letter shapes is performed based on the pairwise distances between their topological signatures. The ideas presented in this work can be extended to study the similarity between any two writing systems and as such can serve as the first step for linguists to determine the possibly related scripts before conducting further analysis.
Źródło:: Statistics in Transition new series; 2021, 22, 3; 141-156
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

Artykuł

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