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0001 @article {amemiyakomura,
0002  AUTHOR = {Amemiya, Ichiro and K{\=o}mura, Yukio},
0003  TITLE = {\"{U}ber nicht-vollst\"andige {M}ontelr\"aume},
0004  JOURNAL = {Math. Ann.},
0005  VOLUME = {177},
0006  YEAR = {1968},
0007  PAGES = {273--277},
0008  MRCLASS = {46.01},
0009  MRNUMBER = {38 \#508},
0010  MRREVIEWER = {V. Krishnamurthy},
0011 }
0012 @article {Au99,
0013  AUTHOR = {Au{\ss}enhofer, L.},
0014  TITLE = {Contributions to the duality theory of abelian topological
0015  groups and to the theory of nuclear groups},
0016  JOURNAL = {Dissertationes Math. (Rozprawy Mat.)},
0017  FJOURNAL = {Dissertationes Mathematicae (Rozprawy Matematyczne)},
0018  VOLUME = {384},
0019  YEAR = {1999},
0020  PAGES = {113},
0021  ISSN = {0012-3862},
0022  CODEN = {DSMAAH},
0023  MRCLASS = {43A40 (22B05 43A35 54H11)},
0024  MRNUMBER = {2001c:43003},
0025  MRREVIEWER = {Adolf R. Mirotin},
0026 }
0027 @phdthesis {Au98,
0028  AUTHOR = {Au{\ss}enhofer, L.},
0029  title={Contributions to the Duality Theory of Abelian Topological Groups 
0030  and to the Theory of Nuclear Groups},
0031  school={Universit{\"{a}}t T\"ubingen},
0032  year={1998},
0033 }
0034 @book {banaszcz,
0035  AUTHOR = {Banaszczyk, Wojciech},
0036  TITLE = {Additive subgroups of topological vector spaces},
0037  PUBLISHER = {Springer-Verlag},
0038  ADDRESS = {Berlin},
0039  YEAR = {1991},
0040  PAGES = {viii+178},
0041  ISBN = {3-540-53917-4},
0042  MRCLASS = {46Axx (47B99)},
0043  MRNUMBER = {93b:46005},
0044  MRREVIEWER = {R. Aguil{\'o}-Fuster},
0045  series = {Lecture Notes in Mathematics},
0046  number={1466},
0047 }
0048 @book {bartjudah,
0049  AUTHOR = {Bartoszy{\'n}ski, Tomek and Judah, Haim},
0050  TITLE = {Set theory},
0051  PUBLISHER = {A K Peters Ltd.},
0052  ADDRESS = {Wellesley, MA},
0053  YEAR = {1995},
0054  PAGES = {xii+546},
0055  ISBN = {1-56881-044-X},
0056  MRCLASS = {03-02 (03Exx)},
0057  MRNUMBER = {96k:03002},
0058  MRREVIEWER = {Eva Coplakova},
0059 }
0060 @book {Bo2-66,
0061  AUTHOR = {Bourbaki, Nicolas},
0062  TITLE = {Elements of mathematics. {G}eneral topology. {P}art 2},
0063  PUBLISHER = {Hermann},
0064  ADDRESS = {Paris},
0065  YEAR = {1966},
0066  PAGES = {iv+363},
0067  MRCLASS = {54.00 (00.00)},
0068  MRNUMBER = {34 \#5044b},
0069 }
0070 @article {chasco,
0071  AUTHOR = {Chasco, M. J.},
0072  TITLE = {Pontryagin duality for metrizable groups},
0073  JOURNAL = {Arch. Math. (Basel)},
0074  FJOURNAL = {Archiv der Mathematik. Archives of Mathematics. Archives
0075  Math\'ematiques},
0076  VOLUME = {70},
0077  YEAR = {1998},
0078  NUMBER = {1},
0079  PAGES = {22--28},
0080  ISSN = {0003-889X},
0081  CODEN = {ACVMAL},
0082  MRCLASS = {22A05},
0083  MRNUMBER = {98k:22003},
0084 MRREVIEWER = {Vladimir Pestov},
0085 }
0086 @book {cies,
0087  AUTHOR = {Ciesielski, Krzysztof},
0088  TITLE = {Set theory for the working mathematician},
0089  PUBLISHER = {Cambridge University Press},
0090  ADDRESS = {Cambridge},
0091  YEAR = {1997},
0092  PAGES = {xii+236},
0093  ISBN = {0-521-59441-3; 0-521-59465-0},
0094  MRCLASS = {04-02 (03Exx)},
0095  MRNUMBER = {99c:04001},
0096  MRREVIEWER = {Perry Smith},
0097 }
0098 @article {comfremusiv,
0099  AUTHOR = {Comfort, W. W. and Remus, Dieter},
0100  TITLE = {Pseudocompact refinements of compact group topologies},
0101  JOURNAL = {Math. Z.},
0102  FJOURNAL = {Mathematische Zeitschrift},
0103  VOLUME = {215},
0104  YEAR = {1994},
0105  NUMBER = {3},
0106  PAGES = {337--346},
0107  ISSN = {0025-5874},
0108  CODEN = {MAZEAX},
0109  MRCLASS = {54H11 (54A10)},
0110  MRNUMBER = {95f:54035},
0111  MRREVIEWER = {Beverly Diamond},
0112 }
0113 @article {comfsaks,
0114  AUTHOR = {Comfort, W. W. and Saks, Victor},
0115  TITLE = {Countably compact groups and finest totally bounded
0116  topologies},
0117  JOURNAL = {Pacific J. Math.},
0118  VOLUME = {49},
0119  YEAR = {1973},
0120  PAGES = {33--44},
0121  MRCLASS = {22A05},
0122  MRNUMBER = {51 \#8321},
0123  MRREVIEWER = {K. A. Ross},
0124 }
0125 @article {comfrossi,
0126  AUTHOR = {Comfort, W. W. and Ross, K. A.},
0127  TITLE = {Topologies induced by groups of characters},
0128  JOURNAL = {Fund. Math.},
0129  VOLUME = {55},
0130  YEAR = {1964},
0131  PAGES = {283--291},
0132  MRCLASS = {22.10 (42.51)},
0133  MRNUMBER = {30 \#183},
0134  MRREVIEWER = {Edwin Hewitt},
0135 }
0136 @article {comftrigwu,
0137  AUTHOR = {Comfort, W. W. and Trigos-Arrieta, F. Javier and Wu, Ta Sun},
0138  TITLE = {The {B}ohr compactification, modulo a metrizable subgroup},
0139  JOURNAL = {Fund. Math.},
0140  FJOURNAL = {Fundamenta Mathematicae},
0141  VOLUME = {143},
0142  YEAR = {1993},
0143  NUMBER = {2},
0144  PAGES = {119--136},
0145  ISSN = {0016-2736},
0146  MRCLASS = {22B05 (22C05 22D05 54H11)},
0147  MRNUMBER = {94i:22013},
0148  MRREVIEWER = {James Chew},
0149 }
0150 @article {vdii,
0151  AUTHOR = {van Douwen, Eric K.},
0152  TITLE = {The maximal totally bounded group topology on ${G}$ and the
0153  biggest minimal ${G}$-space, for abelian groups ${G}$},
0154  JOURNAL = {Topology Appl.},
0155  FJOURNAL = {Topology and its Applications},
0156  VOLUME = {34},
0157  YEAR = {1990},
0158  NUMBER = {1},
0159  PAGES = {69--91},
0160  ISSN = {0166-8641},
0161  CODEN = {TIAPD9},
0162  MRCLASS = {54G05 (22B05 54C20 54C45 54H20)},
0163  MRNUMBER = {91d:54044},
0164  MRREVIEWER = {K. A. Ross},
0165 }
0166 @article {flor,
0167  AUTHOR = {Flor, Peter},
0168  TITLE = {Zur {B}ohr-{K}onvergenz von {F}olgen},
0169  JOURNAL = {Math. Scand.},
0170  VOLUME = {23},
0171  YEAR = {1968},
0172  PAGES = {169--170 (1969)},
0173  MRCLASS = {42.50},
0174  MRNUMBER = {40 \#4685},
0175  MRREVIEWER = {R. B. Burckel},
0176 }
0177 @book {fremlin84,
0178  AUTHOR = {Fremlin, D. H.},
0179  TITLE = {Consequences of {M}artin's axiom},
0180  PUBLISHER = {Cambridge University Press},
0181  ADDRESS = {Cambridge},
0182  YEAR = {1984},
0183  PAGES = {xii+325},
0184  ISBN = {0-521-25091-9},
0185  MRCLASS = {03-02 (03E50 54-02 54A35)},
0186  MRNUMBER = {86i:03001},
0187  MRREVIEWER = {W. W. Comfort},
0188 }
0189 @article {glickii,
0190  AUTHOR = {Glicksberg, Irving},
0191  TITLE = {Uniform boundedness for groups},
0192  JOURNAL = {Canad. J. Math.},
0193  VOLUME = {14},
0194  YEAR = {1962},
0195  PAGES = {269--276},
0196  MRCLASS = {22.10},
0197  MRNUMBER = {27 \#5856},
0198  MRREVIEWER = {L. Nachbin},
0199 }
0200 @article {hajjuh76,
0201  AUTHOR = {Hajnal, A. and Juh{\'a}sz, I.},
0202  TITLE = {Remarks on the cardinality of compact spaces and their
0203  {L}indel\"of subspaces},
0204  JOURNAL = {Proc. Amer. Math. Soc.},
0205  VOLUME = {59},
0206  YEAR = {1976},
0207  NUMBER = {1},
0208  PAGES = {146--148},
0209  MRCLASS = {54A25 (54D30)},
0210  MRNUMBER = {54 \#11263},
0211 MRREVIEWER = {Stephen Willard},
0212 }
0213 @book {hri,
0214  AUTHOR = {Hewitt, Edwin and Ross, Kenneth A.},
0215  TITLE = {Abstract harmonic analysis. {V}ol. {I}: {S}tructure of
0216  topological groups. {I}ntegration theory, group
0217  representations},
0218  PUBLISHER = {Academic Press Inc.},
0219  ADDRESS = {Publishers, New York},
0220  YEAR = {1963},
0221  PAGES = {viii+519},
0222  MRCLASS = {22.65 (42.50)},
0223  MRNUMBER = {28 \#158},
0224  MRREVIEWER = {J. C. Oxtoby},
0225 }
0226 @book {jechii,
0227  AUTHOR = {Jech, Thomas},
0228  TITLE = {Set theory},
0229  PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
0230  ADDRESS = {New York},
0231  YEAR = {1978},
0232  PAGES = {xi+621},
0233  ISBN = {0-12-381950-4},
0234  MRCLASS = {03Exx (04-02)},
0235  MRNUMBER = {80a:03062},
0236  MRREVIEWER = {E. Mendelson},
0237 }
0238 @article {kaplan48,
0239  AUTHOR = {Kaplan, Samuel},
0240  TITLE = {Extensions of the {P}ontrjagin duality. {I}. {I}nfinite
0241  products},
0242  JOURNAL = {Duke Math. J.},
0243  VOLUME = {15},
0244  YEAR = {1948},
0245  PAGES = {649--658},
0246  MRCLASS = {20.0X},
0247  MRNUMBER = {10,233c},
0248  MRREVIEWER = {R. Godement},
0249 }
0250 @book {kechris,
0251  AUTHOR = {Kechris, Alexander S.},
0252  TITLE = {Classical descriptive set theory},
0253  PUBLISHER = {Springer-Verlag},
0254  ADDRESS = {New York},
0255  YEAR = {1995},
0256  PAGES = {xviii+402},
0257  ISBN = {0-387-94374-9},
0258  MRCLASS = {03E15 (03-01 03-02 04A15 28A05 54H05 90D44)},
0259  MRNUMBER = {96e:03057},
0260  MRREVIEWER = {Jakub Jasi{\'n}ski},
0261 }
0262 @article {komura64,
0263  AUTHOR = {K{\=o}mura, Yukio},
0264  TITLE = {Some examples on linear topological spaces},
0265  JOURNAL = {Math. Ann.},
0266  VOLUME = {153},
0267  YEAR = {1964},
0268  PAGES = {150--162},
0269  MRCLASS = {46.01},
0270  MRNUMBER = {32 \#2884},
0271  MRREVIEWER = {A. P. Robertson},
0272 }
0273 @book {kunen80,
0274  AUTHOR = {Kunen, Kenneth},
0275  TITLE = {Set theory},
0276  PUBLISHER = {North-Holland Publishing Co.},
0277  ADDRESS = {Amsterdam},
0278  YEAR = {1980},
0279  PAGES = {xvi+313},
0280  ISBN = {0-444-85401-0},
0281  MRCLASS = {03-02 (03E35 03Exx 04-02)},
0282  MRNUMBER = {82f:03001},
0283  MRREVIEWER = {U. Felgner},
0284  series={Studies in Logic and the Foundations of Mathematics},
0285  number={102},
0286 }
0287 @article {malysap73,
0288  AUTHOR = {Malyhin, V. I. and {\v{S}}apirovski{\u\i}, B. {\`E}.},
0289  TITLE = {Martin's axiom, and properties of topological spaces},
0290  JOURNAL = {Dokl. Akad. Nauk SSSR},
0291  VOLUME = {213},
0292  YEAR = {1973},
0293  PAGES = {532--535},
0294  MRCLASS = {54D55 (04A30 54A25)},
0295  MRNUMBER = {49 \#7985},
0296  MRREVIEWER = {I. Juhasz},
0297 }
0298 @article {rajsub,
0299  AUTHOR = {Rajagopalan, M. and Subrahmanian, H.},
0300  TITLE = {Dense subgroups of locally compact groups},
0301  JOURNAL = {Colloq. Math.},
0302  VOLUME = {35},
0303  YEAR = {1976},
0304  NUMBER = {2},
0305  PAGES = {289--292},
0306  MRCLASS = {22B05},
0307  MRNUMBER = {54 \#5381},
0308  MRREVIEWER = {Paul Milnes},
0309 }
0310 @article {reid,
0311  AUTHOR = {Reid, G. A.},
0312  TITLE = {On sequential convergence in groups},
0313  JOURNAL = {Math. Z.},
0314  VOLUME = {102},
0315  YEAR = {1967},
0316  PAGES = {227--235},
0317  MRCLASS = {42.51 (22.00)},
0318  MRNUMBER = {36 \#3069},
0319  MRREVIEWER = {J. G. Horne},
0320 }
0321 @article {remustrig97a,
0322  AUTHOR = {Remus, Dieter and Trigos-Arrieta, F. Javier},
0323  TITLE = {Locally convex spaces as subgroups of products of locally
0324  compact abelian groups},
0325  JOURNAL = {Math. Japon.},
0326  FJOURNAL = {Mathematica Japonica},
0327  VOLUME = {46},
0328  YEAR = {1997},
0329  NUMBER = {2},
0330  PAGES = {217--222},
0331  ISSN = {0025-5513},
0332  CODEN = {MAJAA9},
0333  MRCLASS = {46A03 (22B05 54H11)},
0334  MRNUMBER = {98f:46003},
0335 }
0336 @book {shaf:86,
0337  AUTHOR = {Schaefer, Helmut H.},
0338  TITLE = {Topological vector spaces},
0339  series = {Graduate Texts in Mathematics},
0340  number = {3},
0341  PUBLISHER = {Springer-Verlag},
0342  ADDRESS = {New York},
0343  YEAR = {1986},
0344  PAGES = {xi+294},
0345  MRCLASS = {46AXX},
0346  MRNUMBER = {49 \#7722},
0347 }
0348 @article {smith52,
0349  AUTHOR = {Smith, Marianne Freundlich},
0350  TITLE = {The {P}ontrjagin duality theorem in linear spaces},
0351  JOURNAL = {Ann. of Math. (2)},
0352  VOLUME = {56},
0353  YEAR = {1952},
0354  PAGES = {248--253},
0355  MRCLASS = {46.3X},
0356  MRNUMBER = {14,183a},
0357  MRREVIEWER = {E. Michael},
0358 }
0359 @book {sriva98,
0360  AUTHOR = {Srivastava, S. M.},
0361  TITLE = {A course on {B}orel sets},
0362  PUBLISHER = {Springer-Verlag},
0363  ADDRESS = {New York},
0364  YEAR = {1998},
0365  PAGES = {xvi+261},
0366  ISBN = {0-387-98412-7},
0367  MRCLASS = {04A15 (28A05 54-01 54H05)},
0368  MRNUMBER = {99d:04002},
0369  MRREVIEWER = {Marek Balcerzak},
0370  series={Graduate Texts in Mathematics}, 
0371  number={180},
0372 }
0373 @incollection {vaughan90,
0374  AUTHOR = {Vaughan, Jerry E.},
0375  TITLE = {Small uncountable cardinals and topology},
0376  BOOKTITLE = {Open problems in topology},
0377  PAGES = {195--218},
0378  PUBLISHER = {North-Holland},
0379  ADDRESS = {Amsterdam},
0380  YEAR = {1990},
0381  MRCLASS = {54-02},
0382  MRNUMBER = {1 078 647},
0383 }
0384 @book {weili,
0385  author={Weil, Andr{\'e}},
0386  title={Sur les {E}spaces \`{a} {S}tructure {U}niforme et sur la
0387  {T}opologie {G}\'{e}n\'{e}rale}, 
0388  PUBLISHER = {Hermann et Cie., Paris},
0389  year={1938},
0390  note={Actualit\'es Sci. Ind., no. 551 = Publ. Inst. Math. Univ. 
0391  Strasbourg, 1},
0392 }
0393 @misc {To01,
0394  author={Todor\v{c}evi\'{c}, Stevo},
0395  note={Personal Communication},
0396  month={August},
0397  year={2001},
0398 }
0399 @phdthesis {raczphd,
0400  author={Raczkowski-Trigos, Sophia~U.},
0401  title={Totally {B}ounded {G}roups}, 
0402  school = {Wesleyan University}, 
0403  address={Middletown, Connecticut, USA},
0404  year={1998},
0405 }
0406 @misc {Hr00,
0407  author={Hru{\v{s}}{\'{a}}k, Michael},
0408  note={Personal Communication},
0409  month={November 20},
0410  year={2000},
0411 }
0412 @unpublished {crt,
0413  author = {Comfort, W. W. and Raczkowski, S. U. and Trigos-Arrieta, F. Javier},
0414  title={The dual group of a dense subgroup},
0415  note={Manuscript submitted for publication},
0416  year={2001},
0417 }