Ovoidal linear spaces
نویسندگان
چکیده
منابع مشابه
Linear v{C}ech closure spaces
In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and pro...
متن کاملEmbedding normed linear spaces into $C(X)$
It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can ...
متن کاملRemotality and proximinality in normed linear spaces
In this paper, we consider the concepts farthest points and nearest points in normed linear spaces, We obtain a necessary and coecient conditions for proximinal, Chebyshev, remotal and uniquely remotal subsets in normed linear spaces. Also, we consider -remotality, -proximinality, coproximinality and co-remotality.
متن کاملLinear spaces and operators
If our mutlidimensional vectors "live" in some appropriate multidimensional space (See Greenberg) we need some properties vector norms A natural question about a vector is, how "long" is it? We might want to know this for a physical reason, say mean velocity, or for an abstract comparision.
متن کاملMinimal linear spaces
A decent linear space (DLS) is a linear space (or PBD of index 1) without lines of size 1 or 2; see Beth, Jungnickel, and Lenz [l] for background and definitions. We denote the maximal line size of a DLS by k and write DLS(k), then; if we also want to specify the number u of points, we use the notation DLS(k; v). We always assume all linear spaces to be non-trivial, i.e., u # k. We shall be con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2003
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(02)00605-2