HOMEOMORPHIC SÖZCÜĞÜ İNGILIZCE DİLİNDE NE ANLAMA GELİR?
homeomorfizm
Topolojinin matematik alanında, bir homeomorfizm veya topolojik izomorfizm veya iki sürekli fonksiyon sürekli bir ters fonksiyona sahip topolojik uzaylar arasındaki sürekli bir işlevdir. Homomorfizmler, topolojik alanlar kategorisinde izomorfizmlerdir - yani, belirli bir alanın tüm topolojik özelliklerini koruyan eşlemelerdir. Aralarında bir homomorfizm bulunan iki boşluğa homomorfik denir ve topolojik açıdan bunlar aynıdır. Evdeomorfizm sözcüğü Yunan sözcükleri ὅμοιος = benzer ve biçim = biçimden gelmektedir. Kabaca konuşmak gerekirse, bir topolojik uzay geometrik bir cisimdir ve homeomorfizm, nesnenin yeni bir şekle sürekli gerilmesi ve bükülmesi demektir. Böylece, bir kare ve bir daire birbirine homomorfiktir, ancak bir küre ve bir torus değildir. Çoğu kez tekrarlanan matematiksel bir şaka, topologların kendi çöreklerinden kavunlarını anlayamamalarıdır, zira yeterli derecede esnek bir çörek, bir çukur oluşturarak giderek büyütürken bir kahve fincanı biçimine yeniden şekillendirilebilir; oyuğun deliğini korurken bir fincanın kolu.
İngilizce sözlükte homeomorphic sözcüğünün tanımı
Sözlükteki homomorfik tanım aynı kristal şekline sahip olmakla birlikte farklı kimyasal bileşime sahiptir. Homeomorfik'in diğer tanımı, her iki yönde de devamlı olarak bire bir yazışmalara sahip olmaktır.
«HOMEOMORPHIC» İLE İLİŞKİLİ İNGILIZCE KİTAPLAR
homeomorphic sözcüğünün kullanımını aşağıdaki kaynakça seçkisinde keşfedin.
homeomorphic ile ilişkili kitaplar ve İngilizce edebiyattaki kullanımı ile ilgili bağlam sağlaması için küçük metinler.
(f ) In R, any two intervals that look alike are homeomorphic. [ 0, 1 ] and [ a, b ] are
homeomorphic, as are (0, 1) and (a. b). The interval (0, 1) is also homeomorphic
to R, and (0, 1 ] is homeomorphic to [a, b). Why? [Hint: The map x H> 2 - 3x is a ...
Thus, the relation “is homeomorphic to" is an equivalence relation on any set of
topological spaces. The reader might profit from thinking, at this point, about the
question: is there a set of all topological spaces? To prove two spaces are ...
For example, if we take the region of S2 to the south of the equator (or any fixed
latitude), then this is homeomorphic to a disc (closed or open according to
whether or not we include the equator) under stereographic projection. So, for
example ...
(b) Any two closed intervals are homeomorphic, and any two half- open intervals
are homeomorphic. (c) No open interval is homeomorphic to a closed or half-
open interval, and no closed interval is homeomorphic to a half-open interval.
5
Mathematical Analysis: Linear and Metric Structures and ...
6.72 ![. Show that the unit circle S1 of R2 is not homeomorphic to R. [Hint:
Suppose h : S1 — > R is a homeomorphism and let io £ S1. Then S1 \ {xo} is
connected, while R \ {h(xo)} is not connected.] 6.73 Theorem. In R each closed
interval is ...
Mariano Giaquinta, Giuseppe Modica,
2007
6
A Basic Course in Algebraic Topology
Such an open tube or cylinder is homeomorphic to a sphere with two holes cut in
it, and forming the connected sum of S with a sphere does not change anything.
Thus, the space resulting from the first stage is homeomorphic to the original ...
The closed interval / = [0, 1] and the open interval / = (0,1) are not homeomorphic.
Assume the converse and let /:/-»/ be a homeomorphism. The point 1 does not
divide the closed interval / , i.e., after it is removed any two remaining points can ...
Viktor Vasilʹevich Prasolov,
1995
than 1, to the whole of Rn. In particular the open interval ] − 1,1[ is homeomorphic
to the whole real line. In the next two examples we make use of the transitivity
property of being homeomorphic: if S is homeomorphic to T,andT is ...
Stephen Huggett, David Jordan,
2009
We intuitively feel, however, that if n # m, then R" is not homeomorphic to R“. In
order to confirm our intuitive feeling, we would have to find some topological
property of R" which is not possessed by R“. In its full generality, this problem is
not ...
Michael C. Gemignani,
1972
X and Y are homeomorphic. written X ~ Y, if there exists a homeomorphism /: X —
> Y. Example 3 An open interval (a. b) is homeomorphic to the real line, (a. b) ~ R
. For example, the map /:(0,l)-> is a homeomorphism. illustrated in Figure 7.3a.
Miles Reid, Balazs Szendroi,
2005
«HOMEOMORPHIC» TERİMİNİ İÇEREN HABERLER
Ulusal ve uluslararası basında konuşulanları ve
homeomorphic teriminin aşağıdaki haberlerde hangi bağlamda kullanıldığını keşfedin.
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