Defective topological spaces: A novel framework for topological spaces with incomplete information [2]
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Soc Paranaense Matematica
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Recent years have seen a surge of interest in representing and reasoning about uncertain information through extended versions of classical mathematical techniques. In this paper, we introduce the concept of defective topological spaces, which is a novel theory motivated by the problem of approaching a topological space with incomplete knowledge of its open sets. In order to address this problem, we define the concepts of exactly and possibly open sets. Furthermore, we investigate the categorical structure of defective topological spaces, and extend several concepts from classical topological spaces, including continuity, convergence, and separation axioms to defective topological spaces.
Açıklama
Anahtar Kelimeler
Exactly open sets, possibly open sets, defective topological spaces, incomplete information
Kaynak
Boletim Sociedade Paranaense De Matematica
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
43
