| Title:
|
On the theory of $B$- and $B_r$-spaces in general topology (English) |
| Author:
|
Noll, Dominik |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
589-594 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54C08 |
| idZBL:
|
Zbl 0719.54011 |
| idMR:
|
MR1017991 |
| DOI:
|
10.21136/CMJ.1989.102332 |
| . |
| Date available:
|
2008-06-09T15:29:14Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102332 |
| . |
| Reference:
|
[AEK] N. Adasch B. Ernst D. Keim: Topological vector spaces.LNM 639. |
| Reference:
|
[$Ba_1$] J. W. Baker: Inversion theorems and compactness.JLMS 47 (1976), 409ff. |
| Reference:
|
[$Ba_2$] J. W. Baker: On a generalized open mapping theorem.MA 172 (1976), 217ff. MR 0212118 |
| Reference:
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[BP] T. Byczkowski R. Pol.: On the closed and open mapping theorems.Bull. Acad. Pol. Sci. 24 (1976), 723-726. MR 0423286 |
| Reference:
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[FK] W. G. Fleissner K. Kunen: Barely Baire spaces.FM CI (1978), 229-240. MR 0521125 |
| Reference:
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[Gr] D. L. Grant: Topological groups which satisfy an open mapping theorem.PJM 68 (1977), 411-423. Zbl 0375.22002, MR 0466395, 10.2140/pjm.1977.68.411 |
| Reference:
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[He] H. Herrlich: Nicht alle $T_2$ minimalen Räume sind von zweiter Kategorie.MZ 91 (1966), 15. MR 0188965, 10.1007/BF01312424 |
| Reference:
|
[$Hu_1$] T. Husain: The open mapping and closed graph theorem in topological vector spaces.Braunschweig 1965. MR 0178331 |
| Reference:
|
[$Hu_2$] T. Husain: Introduction to topological groups.Philadelphia 1966. Zbl 0136.29402, MR 0200383 |
| Reference:
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[Kö] G. Köthe: Topological vector spaces II.New York 1979. MR 0551623 |
| Reference:
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[$N_1$] D. Noll: Open mapping theorems in topological spaces.CMJ 35 (110), 1985. Zbl 0609.54013, MR 0803032 |
| Reference:
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[$N_2$] D. Noll: Sums and products of $B_r$-spaces.PJM 123, 1, 1986. MR 0834146 |
| Reference:
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[$N_3$] D. Noll: Baire category and $B_r$-spaces.PAMS 101, 671 ff, 1987. MR 0911031 |
| Reference:
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[Pe] B. J. Pettis: On continuity and openness of homomorphisms in topological groups.Ann. of Math. 52 (1957), 293-308. MR 0038358, 10.2307/1969471 |
| Reference:
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[P] V. Pták: Completeness and the open mapping theorem.Bull. Soc. Math. France 86, 41-74, 1958. MR 0105606, 10.24033/bsmf.1498 |
| Reference:
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[St] J. D. Stein: The open mapping theorem for spaces with unique segments.PJM 40 (2), 1972, 459-462. Zbl 0233.54006, MR 0307152, 10.2140/pjm.1972.40.459 |
| Reference:
|
[Su] L. J. Sulley: A note on $B$- and $B_r$-complete topological Abelian groups.Proc. Camb. Phil. Soc. 66 (1969), 275. MR 0248272, 10.1017/S0305004100044960 |
| Reference:
|
[We] J. D. Weston: On the comparison of topologies.JLMS 32 (1957), 342-354. Zbl 0078.36002, MR 0094776 |
| Reference:
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[Wi] M. Wilhelm: Criteria for the openness of relations.FM CXIV('81), 219ff. |
| . |
