Mathematics – General Topology
Scientific paper
2001-12-23
Mathematics
General Topology
Scientific paper
A Hausdorff topological space X is van der Waerden if for every sequence (x_n)_n in X there is a converging subsequence (x_n)_{n in A} where subset A of omega contains arithmetic progressions of all finite lengths. A Hausdorff topological space X is Hindman if for every sequence (x_n)_n in X there is an IP-converging subsequence (x_n)_{n in FS(B)} for some infinite subset B of omega. We show that the continuum hypothesis implies the existence of a van der Waerden space which is not Hindman.
Kojman Menachem
Shelah Saharon
No associations
LandOfFree
Van der Waerden spaces and Hindman spaces are not the same does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Van der Waerden spaces and Hindman spaces are not the same, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Van der Waerden spaces and Hindman spaces are not the same will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-250766