Results 161 to 170 of about 3,080 (245)

Kernel embeddings and the separation of measure phenomenon. [PDF]

open access: yesProc Natl Acad Sci U S A
Santoro LV, Waghmare KG, Panaretos VM.
europepmc   +1 more source

Approximation of analytic by Borel sets and definable countable chain conditions

open access: yes, 1995
Let I be a σ-ideal on a Polish space such that each set from I is contained in a Borel set from I. We say that I fails to fulfil the Σ_1^1 countable chain condition if there is a Σ_1^1 equivalence relation with uncountably many equivalence classes none ...
Solecki, S., Kechris, A. S.
core  

Borel sets with large squares

open access: yes, 1999
This is a slightly corrected version of an old work. For a cardinal $\mu$ we give a sufficient condition $\oplus_\mu$ (involving ranks measuring existence of independent sets) for: $\otimes_\mu$ if a Borel set $B\subseteq \mathbb{R} \times \mathbb{R}$
Shelah, Saharon
core  

Ramifications of generalized Feller theory. [PDF]

open access: yesJ Evol Equ
Cuchiero C, Möllmann T, Teichmann J.
europepmc   +1 more source

Borel and Baire reducibility

open access: yes, 2000
We prove that a Borel equivalence relation is classifiable by countable structures if and only if it is Borel reducible to a countable level of the hereditarily countable sets.
Friedman, Harvey
core  

Analysis of experimental colorectal liver metastases identifies distinct proliferation-independent transcriptional programs in micro- versus macrometastases. [PDF]

open access: yesJ Transl Med
Peters NA   +12 more
europepmc   +1 more source

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