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## Gruenhage, Gary F.

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 Author ID: gruenhage.gary-f Published as: Gruenhage, G.; Gruenhage, Gary; Gruenhage, Gary F.
 Documents Indexed: 136 Publications since 1973, including 11 Books
all top 5

#### Co-Authors

 43 single-authored 11 Reed, George Michael 11 Zenor, Phillip L. 10 Kuperberg, Wlodzimierz 8 Balogh, Zoltan T. 6 Nyikos, Peter J. 4 Lutzer, David J. 4 Minc, Piotr 4 Pol, Roman 4 Szeptycki, Paul J. 3 Chaber, Jozef 3 Davis, Sheldon W. 3 Koszmider, Piotr B. 3 Tkachuk, Vladimir Vladimirovich 2 Burke, Dennis K. 2 Chase, Timothy 2 Daniels, Peg 2 Dow, Alan S. 2 Feng, Ziqin 2 Le Donne, Attilio 2 Levy, Ronnie 2 Mashburn, Joe D. 2 Michael, Ernest A. 2 Shen, Rongxin 2 Tamano, Ken-ichi 2 van Mill, Jan 2 Wilson, Richard Gordon 1 Arkhangel’skiĭ, Aleksandr Vladimirovich 1 Bailey, Bradley 1 Bennett, Donna Marie 1 Bennett, Harold R. 1 Bernett, H. R. 1 Boone, James R. 1 Boroński, Jan P. 1 Clontz, Steven 1 Daniel, Tim 1 Dijkstra, Jan J. 1 Eda, Katsuya 1 Eisworth, Todd 1 Fedeli, Alessandro 1 Fitzpatrick, Ben jun. 1 Fleissner, Bill 1 Godefroy, Gilles 1 Granado, Michael 1 Hart, Joan E. 1 Hattori, Yasunao 1 Heath, Robert W. jun. 1 Hindman, Neil 1 Hughes, Glenn 1 Hutchison, Jennifer 1 Juhász, István 1 Kawamura, Katsuyuki 1 Kozlowski, George 1 Kulesza, John S. 1 Künzi, Hans-Peter A. 1 Ma, Daniel K. 1 Marciszewski, M. 1 Mardešić, Sibe 1 Martin, Keye 1 Mislove, Michael W. 1 Moore, J. Tach 1 Natkaniec, Tomasz 1 Nogura, Tsugunori 1 Ohta, Haruto 1 Ostaszweski, Adam 1 Ott, James W. 1 Pavlov, Oleg I. 1 Pelant, Jan 1 Piotrowski, Zbigniew P. 1 Poerio, Thomas 1 Popvassilev, Strashimir G. 1 Porter, John E. 1 Purisch, Steve 1 Repovš, Dušan D. 1 Rudin, Mary Ellen 1 Sakai, Masami 1 Schoenfeld, Alan H. 1 Semenov, Pavel Vladimirovič 1 Shakhmatov, Dmitri B. 1 Solecki, Sławomir 1 Strauss, Dona 1 Streicher, Thomas 1 Tall, Frank 1 Tall, Franklin D. 1 Tanaka, Yoshio 1 Tarone, Robert E. 1 Tkachenko, Mikhail Gelievich 1 Todorcevic, Stevo B. 1 Toruńczyk, Henryk 1 Tsaban, Boaz 1 Vaughan, Jerry E. 1 Watson, William Stephen 1 Yajima, Yukinobu 1 Yamazaki, Kaori 1 Zdoms’kyĭ, Lyubomyr Sergiĭovych 1 Zenor, Philip
all top 5

#### Serials

 41 Topology and its Applications 16 Topology Proceedings 14 Proceedings of the American Mathematical Society 9 Fundamenta Mathematicae 6 Questions and Answers in General Topology 4 Commentationes Mathematicae Universitatis Carolinae 3 Houston Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Pacific Journal of Mathematics 2 General Topology and its Applications 1 Rocky Mountain Journal of Mathematics 1 Canadian Journal of Mathematics 1 Journal of the American Statistical Association 1 The Journal of Symbolic Logic 1 Monatshefte für Mathematik 1 Order 1 MSCS. Mathematical Structures in Computer Science 1 Annals of the New York Academy of Sciences
all top 5

#### Fields

 116 General topology (54-XX) 16 Mathematical logic and foundations (03-XX) 13 General and overarching topics; collections (00-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

105 Publications have been cited 860 times in 590 Documents Cited by Year
Generalized metric spaces. Zbl 0555.54015
Gruenhage, Gary
1984
Spaces determined by point-countable covers. Zbl 0561.54016
Gruenhage, G.; Michael, E.; Tanaka, Y.
1984
Infinite games and generalizations of first-countable spaces. Zbl 0327.54019
Gruenhage, Gary
1976
Covering properties on $$X^ 2\setminus \Delta$$, $$W$$-sets, and compact subsets of $$\Sigma$$-products. Zbl 0547.54016
Gruenhage, Gary
1984
A survey of $$D$$-spaces. Zbl 1217.54025
Gruenhage, Gary
2011
Paracompactness and subparacompactness in perfectly normal locally compact spaces. Zbl 0478.54018
Gruenhage, G.
1980
A note on $$D$$-spaces. Zbl 1101.54029
Gruenhage, Gary
2006
A note on Gul’ko compact spaces. Zbl 0622.54020
Gruenhage, Gary
1987
Selective separability and its variations. Zbl 1228.54028
Gruenhage, Gary; Sakai, Masami
2011
Baireness of $$C_ k(X)$$ for locally compact $$X$$. Zbl 0886.54013
Gruenhage, Gary; Ma, Daniel K.
1997
Stratifiable spaces are $$M_2$$. Zbl 0389.54019
Gruenhage, Gary
1976
k-spaces and products of closed images of metric spaces. Zbl 0453.54012
Gruenhage, Gary
1980
Generalized metric spaces and metrization. Zbl 0794.54034
Gruenhage, Gary
1992
Monotonically monolithic spaces, Corson compacts, and $$D$$-spaces. Zbl 1241.54013
Gruenhage, Gary
2012
Monotonically compact and monotonically Lindelöf spaces. Zbl 1163.54017
Gruenhage, Gary
2008
Fréchet–Urysohn for finite sets. Zbl 1085.54016
Gruenhage, Gary; Szeptycki, Paul J.
2005
When inner regularity of Borel measures implies regularity. Zbl 0387.28014
Gruenhage, G.; Pfeffer, W. F.
1978
Products of k-spaces and spaces of countable tightness. Zbl 0491.54019
Gruenhage, G.; Tanaka, Y.
1982
Normality in $$X^ 2$$ for compact $$X$$. Zbl 0817.54004
Gruenhage, G.; Nyikos, P. J.
1993
The story of a topological game. Zbl 1141.54020
Gruenhage, Gary
2006
Metrizable spaces and generalizations. Zbl 1029.54036
Gruenhage, Gary
2002
Baire and Volterra spaces. Zbl 0947.54018
Gruenhage, Gary; Lutzer, David
2000
Games, covering properties and Eberlein compacts. Zbl 0604.54022
Gruenhage, Gary
1986
Spaces with bases of countable rank. Zbl 0412.54034
Gruenhage, G.; Nyikos, P.
1978
Spaces having a small diagonal. Zbl 1028.54025
Gruenhage, Gary
2002
A note on the product of Frechet spaces. Zbl 0427.54017
Gruenhage, Gary
1979
Proto-metrizable spaces. Zbl 0346.54012
Gruenhage, Gary; Zenor, Philip
1977
Compact monotonically metacompact spaces are metrizable. Zbl 1264.54039
Chase, Timothy; Gruenhage, Gary
2013
Monotonically compact $$T_2$$-spaces are metrizable. Zbl 1173.54011
Gruenhage, Gary
2009
When the collection of $$\varepsilon$$-balls is locally finite. Zbl 1015.54011
Balogh, Zoltan; Gruenhage, Gary
2002
Cosmicity of cometrizable spaces. Zbl 0667.54012
Gruenhage, Gary
1989
On a Corson compact space of Todorčević. Zbl 0618.54021
Gruenhage, Gary
1986
Some results on spaces having an ortho-base or a base of subinfinite rank. Zbl 0408.54022
Gruenhage, Gary
1978
Sequential fans in topology. Zbl 0868.54001
Eda, Katsuya; Gruenhage, Gary; Koszmider, Piotr; Tamano, Kenichi; Todorčević, Stevo
1995
A result on shrinkable open covers. Zbl 0547.54017
Gruenhage, Gary; Michael, Ernest
1983
Monotone covering properties and properties they imply. Zbl 1356.54031
Chase, Timothy; Gruenhage, Gary
2016
Fréchet-Urysohn for finite sets, II. Zbl 1133.54002
Gruenhage, Gary; Szeptycki, Paul J.
2007
Quotients of countably based spaces are not closed under sobrification. Zbl 1099.06005
Gruenhage, Gary; Streicher, Thomas
2006
Topological completions of metrizable spaces. Zbl 0766.54022
Fitzpatrick, Ben jun.; Gruenhage, Gary F.; Ott, James W.
1993
A filter property of submetacompactness and its application to products. Zbl 0723.54009
Gruenhage, Gary; Yajima, Yukinobu
1990
A note on the uniqueness of roots of the likelihood equations for vector- valued parameters. Zbl 0328.62018
Tarone, Robert E.; Gruenhage, Gary
1975
Generalized metrizable spaces. Zbl 1314.54001
Gruenhage, Gary
2014
Proximal compact spaces are Corson compact. Zbl 1319.54005
Clontz, Steven; Gruenhage, Gary
2014
Sequential properties of function spaces with the compact-open topology. Zbl 1228.54022
Gruenhage, Gary; Tsaban, Boaz; Zdomskyy, Lyubomyr
2011
On a question concerning sharp bases. Zbl 1079.54012
2005
Base multiplicity in compact and generalized compact spaces. Zbl 0985.54022
Balogh, Z.; Gruenhage, G.
2001
Dugundji extenders and retracts on generalized ordered spaces. Zbl 0919.54010
Gruenhage, Gary; Hattori, Yasunao; Ohta, Haruto
1998
On Souslin sets and embeddings in integer-valued function spaces on $$\omega_1$$. Zbl 0895.54005
Chaber, J.; Gruenhage, G.; Pol, R.
1998
The point-open type of subsets of the reals. Zbl 0718.54015
Daniels, Peg; Gruenhage, Gary
1990
Analytic spaces and paracompactness of X 2$$\backslash \Delta$$. Zbl 0636.54025
Gruenhage, Gary; Pelant, Jan
1988
Paracompactness in normal, locally connected, locally compact spaces. Zbl 0453.54011
Gruenhage, Gary
1980
Cardinal functions for k-spaces. Zbl 0384.54001
Boone, James R.; Davis, Sheldon W.; Gruenhage, Gary
1978
Perfect images of generalized ordered spaces. Zbl 1395.54026
Gruenhage, Gary; Lutzer, David J.
2018
On thin, very thin, and slim dense sets. Zbl 1115.54004
Gruenhage, Gary; Natkaniec, Tomasz; Piotrowski, Zbigniew
2007
If $$X$$ is $$\sigma$$-compact Polish, then $$C_{k}$$($$X$$) has a $$\sigma$$-closure-preserving base. Zbl 1074.54009
Gruenhage, Gary; Tamano, Kenichi
2005
Connectifications of metrizable spaces. Zbl 0887.54018
Gruenhage, Gary; Kulesza, John; Le Donne, Attilio
1998
The Arkhangel’skij-Tall problem under Martin’s axiom. Zbl 0855.54006
Gruenhage, Gary; Koszmider, Piotr
1996
Products of Lindelöf spaces and GO-spaces. Zbl 0853.54024
Alster, K.; Gruenhage, G.
1995
On a problem of C. H. Dowker. Zbl 0737.03025
Balogh, Z.; Gruenhage, G.
1991
Normality of $$X \times{} \omega{} _ 1^*$$. Zbl 0761.54007
Gruenhage, Gary; Nogura, Tsugunori; Purisch, Steve
1991
Two nonmetric locally connected continua. Zbl 0702.54022
Gruenhage, Gary
1990
Applications of a set-theoretic lemma. Zbl 0547.54015
Gruenhage, Gary
1984
G//delta-sets in symmetrizable and related spaces. Zbl 0412.54026
Davis, S. W.; Gruenhage, G.; Nyikos, P. J.
1978
Stratifiable $$\sigma$$-discrete spaces are $$M_1$$. Zbl 0387.54013
Gruenhage, Gary
1978
Completeness properties in the compact-open topology on fans. Zbl 1339.54022
Gruenhage, Gary; Hughes, Glenn
2015
Products of Fréchet spaces. Zbl 1141.54003
Gruenhage, Gary
2006
Baireness of $$C_k(X)$$ for ordered $$X$$. Zbl 1150.54032
2006
Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces. Zbl 1007.54029
Gruenhage, G.; Tkachuk, V. V.; Wilson, R. G.
2002
Connectedness properties of special subsets of the plane. Zbl 0996.54031
Fedeli, Alessandro; Gruenhage, Gary; Le Donne, Attilio
2002
OIF spaces. Zbl 0966.54011
Balogh, Zoltan; Bennett, Harold; Burke, Dennis; Gruenhage, Gary; Lutzer, David; Mashburn, Joe
2000
Countable Toronto spaces. Zbl 0958.54041
Gruenhage, Gary; Moore, J. Tach
2000
The Arkhangel’skij-Tall problem: A consistent counterexample. Zbl 0862.54020
Gruenhage, Gary; Koszmider, Piotr
1996
On a perfect set theorem of A. H. Stone and N. N. Lusin’s constituents. Zbl 0842.04004
Chaber, J.; Gruenhage, G.; Pol, R.
1995
Spaces in which the nondegenerate connected sets are the cofinite sets. Zbl 0813.54015
Gruenhage, Gary
1994
A note on the point-countable base question. Zbl 0776.54022
Gruenhage, Gary
1992
Some nonnormal $$\Sigma$$-products. Zbl 0789.54005
Daniel, Tim; Gruenhage, Gary
1992
A point-picking game and semi-selective filters. Zbl 0753.90094
Dow, Alan; Gruenhage, Gary
1989
On the existence of metrizable Sorgenfrey subspaces. Zbl 0642.54034
Gruenhage, G.
1988
A perfectly normal, locally compact, noncollectionwise normal space from $$\diamond$$. Zbl 0586.54029
Daniels, Peg; Gruenhage, Gary
1985
Continuously perfectly normal spaces and some generalizations. Zbl 0343.54009
Gruenhage, Gary
1977
The NZ property and $$D$$-spaces. Zbl 1389.54061
Feng, Z.; Gruenhage, G.
2016
$$1/\kappa$$-homogeneous long solenoids. Zbl 1345.54025
Boroński, Jan P.; Gruenhage, Gary; Kozlowski, George
2016
Base-paracompactness and base-normality of GO-spaces. Zbl 1080.54012
Gruenhage, Gary
2005
Additivity of metrizability and related properties. Zbl 0991.54032
Balogh, Zoltan; Gruenhage, Gary; Tkachuk, Vladimir
1998
Two normal locally compact spaces under Martin’s axiom. Zbl 0583.54016
Gruenhage, Gary
1984
On the $$M_ 3 \Rightarrow M_ 1$$ question. Zbl 0463.54023
Gruenhage, Gary
1981
Completeness and weak covering properties, and measure-compactness. Zbl 0393.54015
Gruenhage, G.; Gardner, R. J.
1978
A note on quasi-metrizability. Zbl 0329.54024
Gruenhage, Gary
1977
The Sorgenfrey line is not an elastic space. Zbl 0262.54024
Gruenhage, Gary
1973
On countably selective spaces. Zbl 1448.54010
Feng, Ziqin; Gruenhage, Gary; Shen, Rongxin
2020
Mary Ellen’s conjectures. Zbl 1327.54004
Gruenhage, Gary; Nyikos, Peter
2015
A game and its relation to netweight and $$D$$-spaces. Zbl 1249.54052
Gruenhage, Gary; Szeptycki, Paul
2011
Thin-type dense sets and related properties. Zbl 1244.54024
Hutchison, Jennifer; Gruenhage, Gary
2011
Weakly continuously Urysohn spaces. Zbl 1171.54023
Gruenhage, G.; Zenor, P.
2009
Covering compacta by discrete and other separated sets. Zbl 1171.54002
Gruenhage, G.
2009
Products of cozero complemented spaces. Zbl 1109.54007
Gruenhage, Gary
2006
Two more perfectly normal non-metrizable manifolds. Zbl 1074.54007
Balogh, Zoltan; Gruenhage, Gary
2005
Covering $$^\omega \omega$$ by special Cantor sets. Zbl 1072.03028
Gruenhage, Gary; Levy, Ronnie
2004
Uniformization and anti-uniformization properties of ladder systems. Zbl 1051.03034
Balogh, Zoltán; Eisworth, Todd; Gruenhage, Gary; Pavlov, Oleg; Szeptycki, Paul
2004
Irreducible restrictions of closed mappings. Zbl 0920.54012
Gruenhage, Gary
1998
On countably selective spaces. Zbl 1448.54010
Feng, Ziqin; Gruenhage, Gary; Shen, Rongxin
2020
Perfect images of generalized ordered spaces. Zbl 1395.54026
Gruenhage, Gary; Lutzer, David J.
2018
Monotone covering properties and properties they imply. Zbl 1356.54031
Chase, Timothy; Gruenhage, Gary
2016
The NZ property and $$D$$-spaces. Zbl 1389.54061
Feng, Z.; Gruenhage, G.
2016
$$1/\kappa$$-homogeneous long solenoids. Zbl 1345.54025
Boroński, Jan P.; Gruenhage, Gary; Kozlowski, George
2016
Completeness properties in the compact-open topology on fans. Zbl 1339.54022
Gruenhage, Gary; Hughes, Glenn
2015
Mary Ellen’s conjectures. Zbl 1327.54004
Gruenhage, Gary; Nyikos, Peter
2015
Generalized metrizable spaces. Zbl 1314.54001
Gruenhage, Gary
2014
Proximal compact spaces are Corson compact. Zbl 1319.54005
Clontz, Steven; Gruenhage, Gary
2014
Compact monotonically metacompact spaces are metrizable. Zbl 1264.54039
Chase, Timothy; Gruenhage, Gary
2013
Monotonically monolithic spaces, Corson compacts, and $$D$$-spaces. Zbl 1241.54013
Gruenhage, Gary
2012
A survey of $$D$$-spaces. Zbl 1217.54025
Gruenhage, Gary
2011
Selective separability and its variations. Zbl 1228.54028
Gruenhage, Gary; Sakai, Masami
2011
Sequential properties of function spaces with the compact-open topology. Zbl 1228.54022
Gruenhage, Gary; Tsaban, Boaz; Zdomskyy, Lyubomyr
2011
A game and its relation to netweight and $$D$$-spaces. Zbl 1249.54052
Gruenhage, Gary; Szeptycki, Paul
2011
Thin-type dense sets and related properties. Zbl 1244.54024
Hutchison, Jennifer; Gruenhage, Gary
2011
Monotonically compact $$T_2$$-spaces are metrizable. Zbl 1173.54011
Gruenhage, Gary
2009
Weakly continuously Urysohn spaces. Zbl 1171.54023
Gruenhage, G.; Zenor, P.
2009
Covering compacta by discrete and other separated sets. Zbl 1171.54002
Gruenhage, G.
2009
Monotonically compact and monotonically Lindelöf spaces. Zbl 1163.54017
Gruenhage, Gary
2008
Fréchet-Urysohn for finite sets, II. Zbl 1133.54002
Gruenhage, Gary; Szeptycki, Paul J.
2007
On thin, very thin, and slim dense sets. Zbl 1115.54004
Gruenhage, Gary; Natkaniec, Tomasz; Piotrowski, Zbigniew
2007
A note on $$D$$-spaces. Zbl 1101.54029
Gruenhage, Gary
2006
The story of a topological game. Zbl 1141.54020
Gruenhage, Gary
2006
Quotients of countably based spaces are not closed under sobrification. Zbl 1099.06005
Gruenhage, Gary; Streicher, Thomas
2006
Products of Fréchet spaces. Zbl 1141.54003
Gruenhage, Gary
2006
Baireness of $$C_k(X)$$ for ordered $$X$$. Zbl 1150.54032
2006
Products of cozero complemented spaces. Zbl 1109.54007
Gruenhage, Gary
2006
Fréchet–Urysohn for finite sets. Zbl 1085.54016
Gruenhage, Gary; Szeptycki, Paul J.
2005
On a question concerning sharp bases. Zbl 1079.54012
2005
If $$X$$ is $$\sigma$$-compact Polish, then $$C_{k}$$($$X$$) has a $$\sigma$$-closure-preserving base. Zbl 1074.54009
Gruenhage, Gary; Tamano, Kenichi
2005
Base-paracompactness and base-normality of GO-spaces. Zbl 1080.54012
Gruenhage, Gary
2005
Two more perfectly normal non-metrizable manifolds. Zbl 1074.54007
Balogh, Zoltan; Gruenhage, Gary
2005
Covering $$^\omega \omega$$ by special Cantor sets. Zbl 1072.03028
Gruenhage, Gary; Levy, Ronnie
2004
Uniformization and anti-uniformization properties of ladder systems. Zbl 1051.03034
Balogh, Zoltán; Eisworth, Todd; Gruenhage, Gary; Pavlov, Oleg; Szeptycki, Paul
2004
Metrizable spaces and generalizations. Zbl 1029.54036
Gruenhage, Gary
2002
Spaces having a small diagonal. Zbl 1028.54025
Gruenhage, Gary
2002
When the collection of $$\varepsilon$$-balls is locally finite. Zbl 1015.54011
Balogh, Zoltan; Gruenhage, Gary
2002
Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces. Zbl 1007.54029
Gruenhage, G.; Tkachuk, V. V.; Wilson, R. G.
2002
Connectedness properties of special subsets of the plane. Zbl 0996.54031
Fedeli, Alessandro; Gruenhage, Gary; Le Donne, Attilio
2002
Base multiplicity in compact and generalized compact spaces. Zbl 0985.54022
Balogh, Z.; Gruenhage, G.
2001
Baire and Volterra spaces. Zbl 0947.54018
Gruenhage, Gary; Lutzer, David
2000
OIF spaces. Zbl 0966.54011
Balogh, Zoltan; Bennett, Harold; Burke, Dennis; Gruenhage, Gary; Lutzer, David; Mashburn, Joe
2000
Countable Toronto spaces. Zbl 0958.54041
Gruenhage, Gary; Moore, J. Tach
2000
Dugundji extenders and retracts on generalized ordered spaces. Zbl 0919.54010
Gruenhage, Gary; Hattori, Yasunao; Ohta, Haruto
1998
On Souslin sets and embeddings in integer-valued function spaces on $$\omega_1$$. Zbl 0895.54005
Chaber, J.; Gruenhage, G.; Pol, R.
1998
Connectifications of metrizable spaces. Zbl 0887.54018
Gruenhage, Gary; Kulesza, John; Le Donne, Attilio
1998
Additivity of metrizability and related properties. Zbl 0991.54032
Balogh, Zoltan; Gruenhage, Gary; Tkachuk, Vladimir
1998
Irreducible restrictions of closed mappings. Zbl 0920.54012
Gruenhage, Gary
1998
Baireness of $$C_ k(X)$$ for locally compact $$X$$. Zbl 0886.54013
Gruenhage, Gary; Ma, Daniel K.
1997
The Arkhangel’skij-Tall problem under Martin’s axiom. Zbl 0855.54006
Gruenhage, Gary; Koszmider, Piotr
1996
The Arkhangel’skij-Tall problem: A consistent counterexample. Zbl 0862.54020
Gruenhage, Gary; Koszmider, Piotr
1996
Sequential fans in topology. Zbl 0868.54001
Eda, Katsuya; Gruenhage, Gary; Koszmider, Piotr; Tamano, Kenichi; Todorčević, Stevo
1995
Products of Lindelöf spaces and GO-spaces. Zbl 0853.54024
Alster, K.; Gruenhage, G.
1995
On a perfect set theorem of A. H. Stone and N. N. Lusin’s constituents. Zbl 0842.04004
Chaber, J.; Gruenhage, G.; Pol, R.
1995
Spaces in which the nondegenerate connected sets are the cofinite sets. Zbl 0813.54015
Gruenhage, Gary
1994
Normality in $$X^ 2$$ for compact $$X$$. Zbl 0817.54004
Gruenhage, G.; Nyikos, P. J.
1993
Topological completions of metrizable spaces. Zbl 0766.54022
Fitzpatrick, Ben jun.; Gruenhage, Gary F.; Ott, James W.
1993
Generalized metric spaces and metrization. Zbl 0794.54034
Gruenhage, Gary
1992
A note on the point-countable base question. Zbl 0776.54022
Gruenhage, Gary
1992
Some nonnormal $$\Sigma$$-products. Zbl 0789.54005
Daniel, Tim; Gruenhage, Gary
1992
On a problem of C. H. Dowker. Zbl 0737.03025
Balogh, Z.; Gruenhage, G.
1991
Normality of $$X \times{} \omega{} _ 1^*$$. Zbl 0761.54007
Gruenhage, Gary; Nogura, Tsugunori; Purisch, Steve
1991
A filter property of submetacompactness and its application to products. Zbl 0723.54009
Gruenhage, Gary; Yajima, Yukinobu
1990
The point-open type of subsets of the reals. Zbl 0718.54015
Daniels, Peg; Gruenhage, Gary
1990
Two nonmetric locally connected continua. Zbl 0702.54022
Gruenhage, Gary
1990
Cosmicity of cometrizable spaces. Zbl 0667.54012
Gruenhage, Gary
1989
A point-picking game and semi-selective filters. Zbl 0753.90094
Dow, Alan; Gruenhage, Gary
1989
Analytic spaces and paracompactness of X 2$$\backslash \Delta$$. Zbl 0636.54025
Gruenhage, Gary; Pelant, Jan
1988
On the existence of metrizable Sorgenfrey subspaces. Zbl 0642.54034
Gruenhage, G.
1988
A note on Gul’ko compact spaces. Zbl 0622.54020
Gruenhage, Gary
1987
Games, covering properties and Eberlein compacts. Zbl 0604.54022
Gruenhage, Gary
1986
On a Corson compact space of Todorčević. Zbl 0618.54021
Gruenhage, Gary
1986
A perfectly normal, locally compact, noncollectionwise normal space from $$\diamond$$. Zbl 0586.54029
Daniels, Peg; Gruenhage, Gary
1985
Generalized metric spaces. Zbl 0555.54015
Gruenhage, Gary
1984
Spaces determined by point-countable covers. Zbl 0561.54016
Gruenhage, G.; Michael, E.; Tanaka, Y.
1984
Covering properties on $$X^ 2\setminus \Delta$$, $$W$$-sets, and compact subsets of $$\Sigma$$-products. Zbl 0547.54016
Gruenhage, Gary
1984
Applications of a set-theoretic lemma. Zbl 0547.54015
Gruenhage, Gary
1984
Two normal locally compact spaces under Martin’s axiom. Zbl 0583.54016
Gruenhage, Gary
1984
A result on shrinkable open covers. Zbl 0547.54017
Gruenhage, Gary; Michael, Ernest
1983
On a construction of perfectly normal spaces and its applications to dimension theory. Zbl 0594.54028
Gruenhage, G.; Pol, E.
1983
Sup-characterization of stratifiable spaces. Zbl 0521.54015
Borges, C. R.; Gruenhage, G.
1983
Products of k-spaces and spaces of countable tightness. Zbl 0491.54019
Gruenhage, G.; Tanaka, Y.
1982
On the $$M_ 3 \Rightarrow M_ 1$$ question. Zbl 0463.54023
Gruenhage, Gary
1981
Paracompactness and subparacompactness in perfectly normal locally compact spaces. Zbl 0478.54018
Gruenhage, G.
1980
k-spaces and products of closed images of metric spaces. Zbl 0453.54012
Gruenhage, Gary
1980
Paracompactness in normal, locally connected, locally compact spaces. Zbl 0453.54011
Gruenhage, Gary
1980
A note on the product of Frechet spaces. Zbl 0427.54017
Gruenhage, Gary
1979
On closed images of orthocompact spaces. Zbl 0422.54013
Gruenhage, Gary
1979
When inner regularity of Borel measures implies regularity. Zbl 0387.28014
Gruenhage, G.; Pfeffer, W. F.
1978
Spaces with bases of countable rank. Zbl 0412.54034
Gruenhage, G.; Nyikos, P.
1978
Some results on spaces having an ortho-base or a base of subinfinite rank. Zbl 0408.54022
Gruenhage, Gary
1978
Cardinal functions for k-spaces. Zbl 0384.54001
Boone, James R.; Davis, Sheldon W.; Gruenhage, Gary
1978
G//delta-sets in symmetrizable and related spaces. Zbl 0412.54026
Davis, S. W.; Gruenhage, G.; Nyikos, P. J.
1978
Stratifiable $$\sigma$$-discrete spaces are $$M_1$$. Zbl 0387.54013
Gruenhage, Gary
1978
Completeness and weak covering properties, and measure-compactness. Zbl 0393.54015
Gruenhage, G.; Gardner, R. J.
1978
Proto-metrizable spaces. Zbl 0346.54012
Gruenhage, Gary; Zenor, Philip
1977
Continuously perfectly normal spaces and some generalizations. Zbl 0343.54009
Gruenhage, Gary
1977
A note on quasi-metrizability. Zbl 0329.54024
Gruenhage, Gary
1977
Infinite games and generalizations of first-countable spaces. Zbl 0327.54019
Gruenhage, Gary
1976
...and 5 more Documents
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#### Cited by 461 Authors

 30 Lin, Shou 27 Gruenhage, Gary F. 21 Liu, Chuan 17 Lin, Fucai 17 Peng, Liangxue 17 Tkachuk, Vladimir Vladimirovich 14 Gartside, Paul M. 14 Tanaka, Yoshio 14 Yajima, Yukinobu 12 Sakai, Masami 9 Banakh, Taras Onufrievich 9 Bonanzinga, Maddalena 9 Gabriyelyan, Saak S. 9 Li, Piyu 9 Lutzer, David J. 8 Bennett, Harold R. 8 Good, Chris 8 Junnila, Heikki J. K. 8 Porter, John E. 8 Tall, Franklin D. 7 Feng, Ziqin 7 Kąkol, Jerzy 7 Nogura, Tsugunori 7 Nyikos, Peter J. 7 Pol, Roman 7 Spadaro, Santi 7 Szeptycki, Paul J. 7 Xie, Lihong 6 Arkhangel’skiĭ, Aleksandr Vladimirovich 6 Balogh, Zoltan T. 6 Bella, Angelo 6 Burke, Dennis K. 6 Cao, Jiling 6 Clontz, Steven 6 Hrušák, Michael 6 Hung, Henry Hin-Lai 6 Matveev, Michael V. 6 Mou, Lei 5 Aurichi, Leandro Fiorini 5 Cai, Zhangyong Cai 5 Guo, Hongfeng 5 Jordan, Francis 5 Li, Zhaowen 5 Shen, Rongxin 5 Shibakov, Alexander Y. 5 Soukup, Dániel Tamás 4 Cammaroto, Filippo 4 Dias, Rodrigo R. 4 Dow, Alan S. 4 Hart, Joan E. 4 Hirata, Yasushi 4 Kombarov, Anatoli P. 4 Koszmider, Piotr B. 4 Kunen, Kenneth 4 Marciszewski, Witold 4 Özçağ, Selma 4 Popvassilev, Strashimir G. 4 Repovš, Dušan D. 4 Rojas-Hernández, Reynaldo 4 Shi, Wei-Xue 4 Tamano, Ken-ichi 4 Tsaban, Boaz 4 Yu, Zuoming 4 Yun, Ziqiu 4 Zdoms’kyĭ, Lyubomyr Sergiĭovych 3 Boone, James R. 3 Bouziad, Ahmed 3 Di Maio, Giuseppe 3 Eisworth, Todd 3 Fabian, Martin 3 Foged, Lars J. 3 Gao, Yin-Zhu 3 Gasper, George Jun 3 Holá, Ľubica 3 Kemoto, Nobuyuki 3 Künzi, Hans-Peter A. 3 Li, Jinjin 3 Milovich, David 3 Montesinos Santalucia, Vicente 3 Moody, P. J. 3 Moors, Warren B. 3 Mynard, Frédéric 3 Pansera, Bruno Antonio 3 Reznichenko, Evgenii A. 3 Smith, Richard James 3 Song, Yankui 3 Todorcevic, Stevo B. 3 Tran Van An 3 Trebels, Walter 3 Uzcategui, Carlos Enrique 3 Vural, Çetin 3 Wang, Leijie 3 Wilson, Richard Gordon 3 Xu, Yuming 3 Xuan, Weifeng 3 Zizler, Vaclav E. 3 Zsilinszky, László 2 Alster, Kazimierz 2 Basile, Fortunata Aurora 2 Battenfeld, Ingo ...and 361 more Authors
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#### Cited in 69 Serials

 374 Topology and its Applications 38 Proceedings of the American Mathematical Society 12 Czechoslovak Mathematical Journal 12 Transactions of the American Mathematical Society 11 Journal of Mathematical Analysis and Applications 8 Acta Mathematica Hungarica 8 Topology Proceedings 7 Bulletin of the Australian Mathematical Society 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Mathematische Zeitschrift 5 Israel Journal of Mathematics 5 Mathematical Notes 5 Rocky Mountain Journal of Mathematics 5 Annals of Pure and Applied Logic 4 Quaestiones Mathematicae 4 Lobachevskii Journal of Mathematics 4 Central European Journal of Mathematics 3 Commentationes Mathematicae Universitatis Carolinae 3 The Journal of Symbolic Logic 3 Mathematische Annalen 3 Journal of Mathematical Sciences (New York) 3 Journal of the Australian Mathematical Society 3 Applied General Topology 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Mathematica Slovaca 2 Siberian Mathematical Journal 2 Acta Mathematica Sinica. New Series 2 Journal of the Egyptian Mathematical Society 2 Mediterranean Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Scandinavian Journal of Statistics 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 The Annals of Statistics 1 Archiv der Mathematik 1 Fundamenta Mathematicae 1 Information Sciences 1 Journal of Soviet Mathematics 1 Kybernetika 1 Manuscripta Mathematica 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Bulletin of the Iranian Mathematical Society 1 Order 1 Optimization 1 International Journal of Approximate Reasoning 1 Forum Mathematicum 1 Communications in Statistics. Theory and Methods 1 Pattern Recognition 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 The Bulletin of Symbolic Logic 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Function Spaces and Applications 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Nonlinear Science and Applications 1 Advances in Fuzzy Systems 1 Set-Valued and Variational Analysis 1 Afrika Matematika 1 Computability 1 Korean Journal of Mathematics
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#### Cited in 29 Fields

 548 General topology (54-XX) 87 Mathematical logic and foundations (03-XX) 49 Topological groups, Lie groups (22-XX) 49 Functional analysis (46-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Measure and integration (28-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 11 Real functions (26-XX) 7 History and biography (01-XX) 7 Manifolds and cell complexes (57-XX) 7 Computer science (68-XX) 6 Category theory; homological algebra (18-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Combinatorics (05-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX)