SIFAT SUB RUANG TOPOLOGI HASIL KALI RUANG METRIK KERUCUT
DOI:
https://doi.org/10.33603/e.v4i2.418Abstract
Penelitian ini membahas tentang ruang topologi hasil kali ruang metrik kerucut, khususnya tentang aksioma keterhitungan pertama pada subruangnya. Untuk membuktikan sifat, pertama-tama ditunjukkan bahwa ruang topologi hasil kali dua ruang metrik kerucut memenuhi aksioma keterhitungan pertama, selanjutnya ditunjukkan bahwa setiap subruangnya juga memenuhi sifat tersebut dengan menunjukkan setiap elemen dari setiap subruangnya memiliki basis lokal terhitung. Hasilnya adalah aksioma keterhitungan pertama pada topologi hasil kali dua ruang metrik kerucut adalah hereditas.
Kata kunci: Mertik kerucut, aksioma keterhitungan pertama, subruang, basis lokal, hereditas
References
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Sabetghadam, F&Masiha and A.H.Sanatpour, Some couple fixed point theorems in Cone metric spaces, Hindawi Publishing Corporation, Fixed Point Theory and Applications vol.2009, Article ID 125426, 8 pages (2009).
Turkoglu, D & Abuloha, M. Cone metric spaces and fixed point theorems in diametrically contractive mapping, Acta Mathematica Sinica, vol.26, no.3, pp.489-496,(2010).
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