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Bookmarks:

Title: Comonotone approximation and interpolation by entire functions
Source: Journal of Mathematical Analysis and Applications
Date: 2019
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 480
Issue: 2
Start Page: 123427
DOI: 10.1016/j.jmaa.2019.123427




Bookmarks:

Title: Approximation by entire functions in the construction of order-isomorphisms and large cross-sections
Source: New trends in approximation theory
Date: 2018
Author: Burke, Maxim R.
Genre: Book, Section
Start Page: 37
ISBN: 978-1-4939-7543-3




Bookmarks:

Title: Approximation and interpolation by entire functions with restriction of the values of the derivatives
Source: Topology and its Applications
Date: 2016
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 213
Start Page: 24
DOI: 10.1016/j.topol.2016.08.005




Bookmarks:

Title: Approximation and interpolation by large entire cross-sections of second category sets in Rn+1
Source: Topology and its Applications
Date: 2013
Author: Burke, Maxim R.
Genre: Journal Article
Abstract: In [M.R. Burke, Large entire cross-sections of second category sets in Rn+1Rn+1, Topology Appl. 154 (2007) 215–240], a model was constructed in...
Volume: 160
Issue: 3
Start Page: 1681
DOI: 10.1016/j.topol.2013.07.003




Bookmarks:

Title: Various products of category densities and liftings
Source: Topology and its Applications
Date: 2009
Author: Burke, M. R.; Macheras, N. D.; Musiał, K.; Strauss, W.
Genre: Journal Article
Volume: 156
Issue: 7
Start Page: 1253
DOI: 10.1016/j.topol.2008.12.002




Bookmarks:

Title: Entire functions mapping uncountable dense sets of reals onto each other monotonically
Source: Transactions of the American Mathematical Society
Date: 2009
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 361
Issue: 6
Start Page: 2871
DOI: 10.1090/S0002-9947-09-04924-1




Bookmarks:

Title: Simultaneous approximation and interpolation of increasing functions by increasing entire functions
Source: Journal of Mathematical Analysis and Applications
Date: 2009
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 350
Issue: 2
Start Page: 845
DOI: 10.1016/j.jmaa.2008.08.018




Bookmarks:

Title: Large entire cross-sections of second category sets in Rn+1
Source: Topology and its Applications
Date: 2007
Author: Burke, Maxim R.
Genre: Journal Article
Abstract: By the Kuratowski-Ulam theorem, if A subset of Rn+1 = R-n x R is a Borel set which has second category intersection with every ball (i.e., is ...
Volume: 154
Issue: 1
Start Page: 215
DOI: 10.1016/j.topol.2006.04.009




Bookmarks:

Title: Category product densities and liftings
Source: Topology and its Applications
Date: 2006
Author: Burke, Maxim R.; Macheras, N. D.; Musial, K.; Strauss, W.
Genre: Journal Article
Abstract: In this paper we investigate two main problems. One of them is the question on the existence of category liftings in the product of two topological...
Volume: 153
Issue: 7
Start Page: 1164
DOI: 10.1016/j.topol.2004.12.008




Bookmarks:

Title: Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set
Source: Canadian Journal of Mathematics / Journal Canadien De Mathematiques
Date: 2005
Author: Burke, Maxim R.; Miller, A. W.
Genre: Journal Article
Abstract: We prove that it is relatively consistent with ZFC that in any perfect Polish space, for every nonmeager set A there exists a nowhere dense Cantor...
Volume: 57
Issue: 6
Start Page: 1139
DOI: 10.4153/cjm-2005-044-x




Bookmarks:

Title: Hechler’s theorem for the null ideal
Source: Archive for Mathematical Logic
Date: 2004
Author: Burke, Maxim R.; Kada, Masaru
Genre: Journal Article
Volume: 43
Issue: 5
Start Page: 703
DOI: 10.1007/s00153-004-0224-4




Bookmarks:

Title: Paradoxical decompositions of planar sets of positive outer measure Paradoxical decompositions of planar sets
Source: Journal of Geometry
Date: 2004
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 79
Issue: 1
Start Page: 56
DOI: 10.1007/s00022-003-1575-4




Bookmarks:

Title: Borel measurability of separately continuous functions, II
Source: Topology and its Applications
Date: 2003
Author: Burke, Maxim R.
Genre: Journal Article
Abstract: This paper continues the investigation begun in [M.R. Burke, Topology Appl. 129 (2003) 29-65] into the measurability properties of separately...
Volume: 134
Issue: 3
Start Page: 159
DOI: 10.1016/S0166-8641(03)00105-6




Bookmarks:

Title: [Review of the book Introduction to Cardinal Arithmetic by M. Holz, K. Steffens, and E. Weitz]
Source: The Bulletin of Symbolic Logic
Date: 2002
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 8
Issue: 4
Start Page: 524
DOI: 10.2307/797958




Bookmarks:

Title: Continuous functions which take a somewhere dense set of values on every open set (vol 103, pg 95, 2000)--correction
Source: Topology and its Applications
Date: 2000
Author: Burke, Maxim R.
Genre: Journal Article
Volume: 108
Issue: 1
Start Page: 105




Bookmarks:

Title: Continuous functions which take a somewhere dense set of values on every open set
Source: Topology and its Applications
Date: 2000
Author: Burke, Maxim R.
Genre: Journal Article
Abstract: We study the class of Tychonoff spaces that can be mapped continuously into R in such a way that the preimage of every nowhere dense set is nowhere...
Volume: 103
Issue: 1
Start Page: 95
DOI: 10.1016/S0166-8641(98)00163-1




Bookmarks:

Title: Sets of range uniqueness for classes of continuous functions
Source: Proceedings of the American Mathematical Society
Date: 1999
Author: Burke, Maxim R.; Ciesielski, K.
Genre: Journal Article
Abstract: Diamond, Pomerance and Rubel (1981) proved that there are subsets M of the complex plane such that for any two entire functions f and g if f[M] = g...
Volume: 127
Issue: 11
Start Page: 3295




Bookmarks:

Title: Sets on which measurable functions are determined by their range
Source: Canadian Journal of Mathematics - Journal Canadien de Mathematiques
Date: 1997
Author: Burke, Maxim R.; Ciesielski, K.
Genre: Journal Article
Abstract: We study sets on which measurable real-valued functions on a measurable space with negligibles are determined by their range.
Volume: 49
Issue: 6
Start Page: 1089
DOI: 10.4153/cjm-1997-054-8




Bookmarks:

Title: A proof of Hechler's theorem on embedding N-1-directed sets cofinally into ((ωω, <∗)
Source: Archive for Mathematical Logic
Date: 1997
Author: Burke, Maxim R.
Genre: Journal Article
Abstract: We give a proof of Hechler's theorem that any aleph(1)-directed partial order can be embedded via a ccc forcing notion cofinally into omega(omega)...
Volume: 36
Issue: 6
Start Page: 399
DOI: 10.1007/s001530050072




Bookmarks:

Title: Bounded sets in topological vector spaces
Source: Mathematische Annalen
Date: 1996
Author: Burke, Maxim R.; Todorcevic, S.
Genre: Journal Article
Volume: 305
Issue: 1
Start Page: 103
DOI: 10.1007/bf01444213

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