Algebraic structures of ditopological texture graphs

TÜBİTAK Projesi, 2219 - Yurt Dışı Doktora Sonrası Araştırma Burs Programı, 2026 - 2027

Proje Türü: TÜBİTAK Projesi
Destek Programı: 2219 - Yurt Dışı Doktora Sonrası Araştırma Burs Programı
Başlama Tarihi: Mayıs 2026
Bitiş Tarihi: Şubat 2027

Proje Özeti

Ditopological texture graphs defined on the same texture are independent structures. Because there is no mathematical relationship between the topology ( ) and the cotopology ( ) defined in texture spaces, the paths we obtain from the graph are completely different from the paths obtained from the graph.

The fascinating advantage of ditopological texture graphs is that we can approach problem solutions from different perspectives.

This project will focus on the algebraic structures of ditopological texture graphs. These concepts will include relative homotopy digraphs, digraph suspension structure,

Hurewicz homomorphism, GLMY theory, digraph homotopy group, canonical long exact sequence, and suspension.