Compactness in general function spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Dt. Verl. der Wiss.
1974
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 110 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002744652 | ||
| 003 | DE-604 | ||
| 005 | 19981201 | ||
| 007 | t | ||
| 008 | 900621s1974 |||| 00||| eng d | ||
| 035 | |a (OCoLC)251804687 | ||
| 035 | |a (DE-599)BVBBV002744652 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-703 |a DE-355 |a DE-824 |a DE-20 |a DE-19 |a DE-29T |a DE-706 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 084 | |a SK 280 |0 (DE-625)143228: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a 54F40 |2 msc | ||
| 100 | 1 | |a Poppe, Harry |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Compactness in general function spaces |c H. Poppe |
| 264 | 1 | |a Berlin |b Dt. Verl. der Wiss. |c 1974 | |
| 300 | |a 110 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Funktionenraum |0 (DE-588)4134834-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kompaktheit |0 (DE-588)4456100-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Kompaktierung |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Kompaktheit |0 (DE-588)4456100-3 |D s |
| 689 | 0 | 1 | |a Funktionenraum |0 (DE-588)4134834-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Funktionenraum |0 (DE-588)4134834-5 |D s |
| 689 | 1 | 1 | |a Kompaktierung |A f |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Funktionenraum |0 (DE-588)4134834-5 |D s |
| 689 | 2 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754891&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001754891 | ||
| 980 | 4 | |a (DE-12)AK17440026 | |
Record in the Search Index
| _version_ | 1804117097831202816 |
|---|---|
| adam_text | Contents
Preface 5
Chapter 1.
Convergence spaces 11
1. Some basic properties of filters 11
2. Convergence spaces 14
3. Bibliographic notes 27
Chapter 2.
The convergence structure of continuous convergence 30
1. The convergence structure of pointwise convergence 30
2. The convergence structure of continuous convergence 31
3. The comparison of convergence structures in function spaces 35
4. Further properties of the convergence structure of continuous convergence 42
5. Bibliographic notes 47
Chapter 3.
Compactness in function spaces, for which a convergence structure or a topology is defined . 50
1. General remarks on compactness in function spaces 50
2. Even continuity 54
3. Compactness relative to the convergence structure c-lim of continuous convergence 57
4. Compactness relative to the compact-open topology x,, 59
5. Compactness and the exponential law in function spaces 64
6. Bibliographic notes 66
Chapter 4.
Compactness in function spaces, for which a generalized uniform structure is defined 69
1. Generalized uniform structures in the sense of Txjkey and Morita 69
2. The generalized uniform structure X, Z for Yx and C(X, Y) 77
10 Contents
3. Equicontinuity 79
4. Uniform criteria for c-lim, x,. and t x^ 84
5. Bibliographic notes 88
Chapter 5.
Compactness criteria for sets of precompact functions 90
1. A criterion concerning the precompactness of a set of precompact functions 90
2. A theorem on the relative compactness of a set of precompact functions 97
3. Bibliographic notes 102
Bibliography 103
Index 109
|
| any_adam_object | 1 |
| author | Poppe, Harry |
| author_facet | Poppe, Harry |
| author_role | aut |
| author_sort | Poppe, Harry |
| author_variant | h p hp |
| building | Verbundindex |
| bvnumber | BV002744652 |
| classification_rvk | SK 280 SK 600 |
| ctrlnum | (OCoLC)251804687 (DE-599)BVBBV002744652 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01621nam a2200433 c 4500</leader><controlfield tag="001">BV002744652</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19981201 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900621s1974 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)251804687</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002744652</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 280</subfield><subfield code="0">(DE-625)143228:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">54F40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Poppe, Harry</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Compactness in general function spaces</subfield><subfield code="c">H. Poppe</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Dt. Verl. der Wiss.</subfield><subfield code="c">1974</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">110 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kompaktheit</subfield><subfield code="0">(DE-588)4456100-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Kompaktierung</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kompaktheit</subfield><subfield code="0">(DE-588)4456100-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kompaktierung</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754891&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001754891</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK17440026</subfield></datafield></record></collection> |
| genre | Kompaktierung gnd |
| genre_facet | Kompaktierung |
| id | DE-604.BV002744652 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:48:59Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001754891 |
| oclc_num | 251804687 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-824 DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-824 DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | 110 S. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Dt. Verl. der Wiss. |
| record_format | marc |
| spelling | Poppe, Harry Verfasser aut Compactness in general function spaces H. Poppe Berlin Dt. Verl. der Wiss. 1974 110 S. txt rdacontent n rdamedia nc rdacarrier Funktionenraum (DE-588)4134834-5 gnd rswk-swf Kompaktheit (DE-588)4456100-3 gnd rswk-swf Kompaktierung gnd rswk-swf Kompaktheit (DE-588)4456100-3 s Funktionenraum (DE-588)4134834-5 s DE-604 Kompaktierung f HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754891&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Poppe, Harry Compactness in general function spaces Funktionenraum (DE-588)4134834-5 gnd Kompaktheit (DE-588)4456100-3 gnd |
| subject_GND | (DE-588)4134834-5 (DE-588)4456100-3 |
| title | Compactness in general function spaces |
| title_auth | Compactness in general function spaces |
| title_exact_search | Compactness in general function spaces |
| title_full | Compactness in general function spaces H. Poppe |
| title_fullStr | Compactness in general function spaces H. Poppe |
| title_full_unstemmed | Compactness in general function spaces H. Poppe |
| title_short | Compactness in general function spaces |
| title_sort | compactness in general function spaces |
| topic | Funktionenraum (DE-588)4134834-5 gnd Kompaktheit (DE-588)4456100-3 gnd |
| topic_facet | Funktionenraum Kompaktheit Kompaktierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754891&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT poppeharry compactnessingeneralfunctionspaces |