Disaster in topology without axiom of choice
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ege Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bu çalışmada genel topolojide yer alan Tychonoff, Baire Kategori gibi bazıönemli teoremlerin seçim aksiyomu kullanmaksızın incelendiğinde ortaya çıkanyıkımlar ve bu teoremlerin ispatlanabilmesi için gerekli olan seçim aksiyomununzayıf formları araştırılmıştırAnahtar sözcükler: Seçim aksiyomu, topolojideki yıkımlar, Tychonoffteoremi, Baire kategory teoremi
In this study we research that if we view some special theorems which thatTychonoff, Baire category theorems in general topology without axiom of choicewhich disasters obtain and which some weak forms of axiom of choice need to forproof of these theorems and its conculations.Keywords: Axiom of choice, Disaster in topology, Baire Category theorem,Tychonoff theorem
In this study we research that if we view some special theorems which thatTychonoff, Baire category theorems in general topology without axiom of choicewhich disasters obtain and which some weak forms of axiom of choice need to forproof of these theorems and its conculations.Keywords: Axiom of choice, Disaster in topology, Baire Category theorem,Tychonoff theorem
Açıklama
Anahtar Kelimeler
Matematik, Mathematics, Topoloji, Topology, Topolojik uzaylar, Topological spaces
