Preprints (4 Total)
نویسنده
چکیده
We prove that the (d − 2)-nd barycentric subdivision of every convex d-ball is shellable. This yields a new characterization of the PL property in terms of shellability: A sphere or a ball is PL if and only if it becomes shellable after sufficiently many barycentric subdivisions. This improves results by Whitehead, Zeeman and Glaser. Moreover, we show the Zeeman conjecture is equivalent to the statement “the product of any contractible 2-complex with an interval becomes (simplicially) collapsible after a suitable number of barycentric subdivisions”. This number cannot be bounded: For any two positive integers m,n, we construct a 2-complex C such that sd (C × I) is not collapsible.
منابع مشابه
The potential of preprints to accelerate scholarly communication - A bibliometric analysis based on selected journals
This paper quantifies to which extent preprints in arXiv accelerate scholarly communication. The following subject fields were investigated up to the year 2012: High Energy Physics (HEP), Mathematics, Astrophysics, Quantitative Biology, and Library and Information Science (LIS). Publication and citation data was downloaded from Scopus and matched with corresponding preprints in arXiv. Furthermo...
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متن کاملHow biologists pioneered preprints-with paper and postage.
1348 29 SEPTEMBER 2017 • VOL 357 ISSUE 6358 sciencemag.org SCIENCE A s a growing number of biologists formally share their papers in online repositories, it’s often said that they are catching up with physicists, who have posted preprints in the online arXiv server since 1991. But biomedical scientists were actually first, reveals a researcher who has traced a “forgotten experiment” from the 19...
متن کاملHas the time come for preprints in biology?
Preprints, non-peer-reviewed drafts of manuscripts available on the Internet, have been used in conjunction with peer review and publication in journals in the physical sciences for almost 25 years. Recently, more scientists have been discussing whether preprints can play a similar role in biological and biomedical research. Here, I discuss my excitement and concerns about the role that preprin...
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Preprints reduce delays in sharing research results and increase the amount and diversity of data available to the scientific community. Support of this communication mechanism through appropriate policies by journals, funders and institutions will encourage community engagement. Widespread adoption would benefit both individual scientists and research, and it might improve publishing in scient...
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