منابع مشابه
Partial k-Parallelisms in Finite Projective Spaces
In this paper, we consider the following question. What is the maximum number of pairwise disjoint k-spreads that exist in PG(n, q)? We prove that if k + 1 divides n + 1 and n > k then there exist at least two disjoint k-spreads in PG(n, q) and there exist at least 2k+1 − 1 pairwise disjoint k-spreads in PG(n, 2). We also extend the known results on parallelism in a projective geometry from whi...
متن کاملStrongly k-spaces
In this paper, we introduce the notion of strongly $k-$spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets). We characterize the strongly $k-$spaces and investigate the relationships between preclosedness, locally strongly compactness, pre-first countableness and being strongly $k-$space.
متن کاملOn k - simplexes in ( 2 k − 1 ) - dimensional vector spaces over finite fields
We show that if the cardinality of a subset of the (2k − 1)-dimensional vector space over a finite field with q elements is ≫ q 2k−1− 1 2k , then it contains a positive proportional of all k-simplexes up to congruence.
متن کاملFinite Groups and Finite Spaces
We shall explain some of the results and questions in a beautiful 1978 paper [3] by Daniel Quillen. He relates properties of groups to homotopy properties of the simplicial complexes of certain posets constructed from the group. He does not explicitly think of these posets as finite topological spaces. He seems to have been unaware of the earlier papers of McCord [2] and Stong [4] that we have ...
متن کاملContinuous $k$-Fusion Frames in Hilbert Spaces
The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames which is important for frame applications, have been specified completely for the c...
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: Colloquium Mathematicum
سال: 1966
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-15-2-205-210