Parapolar spaces with the “haircut” axiom
نویسندگان
چکیده
منابع مشابه
THE URYSOHN AXIOM AND THE COMPLETELY HAUSDORFF AXIOM IN L-TOPOLOGICAL SPACES
In this paper, the Urysohn and completely Hausdorff axioms in general topology are generalized to L-topological spaces so as to be compatible with pointwise metrics. Some properties and characterizations are also derived
متن کاملMetric spaces and the axiom of choice
We shall start with some definitions from topology. First of all, a metric space is a topological space whose topology is determined by a metric. A metric on a topological space X is a function d from X × X to R , the reals, which has the following properties: For all x, y, z ∈ X , (a) d(x, y) ≥ 0, (b) d(x, x) = 0, (c) if d(x, y) = 0, then x = y, (d) d(x, y) = d(y, x), and (e) d(x, y) + d(y, z)...
متن کاملThe Priestley Separation Axiom for Scattered Spaces
Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in the product space X × X. Furthermore, if X is not scattered, then we show that there is a quasi-order on X that is closed in X × X but does not satisfy the Priestley separation axiom. As a result, we obtain a new charac...
متن کاملthe urysohn axiom and the completely hausdorff axiom in l-topological spaces
in this paper, the urysohn and completely hausdorff axioms in general topology are generalized to l-topological spaces so as to be compatible with pointwise metrics. some properties and characterizations are also derived
متن کاملExtensions of isomorphisms for affine dual polar spaces and strong parapolar spaces
Let B be a class of point-line geometries. Given Γi ∈ B with subspace Si for i = 1, 2, does any isomorphism Γ1−S1 −→ Γ2−S2 extend to a unique isomorphism Γ1 −→ Γ2? It is known to be true if B is the class of almost all projective spaces or the class of almost all non-degenerate polar spaces. We show that this is true for the class of almost all strong parapolar spaces, including dual polar spac...
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: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
سال: 2017
ISSN: 1781-6475,1781-6475
DOI: 10.2140/iig.2017.15.265