The Baire Category of Subsequences and Permutations which preserve Limit Points

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Baire Theory of Category

The Baire theory of category, which classifies sets into two distinct categories, is an important topic in the study of metric spaces. Many results in topology arise from category theory; in particular, the Baire categories are related to a topological property. Because the Baire Category Theorem involves nowhere dense sets in a complete metric space, this paper first develops the concepts of n...

متن کامل

Longest subsequences in permutations

For a class of permutations X the LXS problem is to identify in a given permutation σ of length n its longest subsequence that is isomorphic to a permutation of X . In general LXS is NP-hard. A general construction that produces polynomial time algorithms for many classes X is given. More efficient algorithms are given when X is defined by avoiding some set of permutations of length 3.

متن کامل

Subsequences and Category

If a sequence of functions diverges almost everywhere, then the set of subsequences which diverge almost everywhere is a residual set of subsequences.

متن کامل

On the Baire Category Theorem

Let T be a topological structure and let A be a subset of the carrier of T . Then IntA is a subset of T . Let T be a topological structure and let P be a subset of the carrier of T . Let us observe that P is closed if and only if: (Def. 1) −P is open. Let T be a non empty topological space and let F be a family of subsets of T . We say that F is dense if and only if: (Def. 2) For every subset X...

متن کامل

Descending subsequences of random permutations

Given a random permutation of the numbers 1, 2, . . . . n, let L, be the length of the longest descending subsequence of this permutation. Let F, be the minimal header (first element) of the descending subsequences having maximal length. It is known that EL,/&,,,, c and that c=2. However, the proofs that r=2 are far from elementary and involve limit processes. Several relationships between thes...

متن کامل

ذخیره 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: Results in Mathematics

سال: 2020

ISSN: 1422-6383,1420-9012

DOI: 10.1007/s00025-020-01289-y