On the existence of natural non-topological, fuzzy topological spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Heldermann
1985
|
| Series: | Research and exposition in mathematics
11 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 183 S. |
| ISBN: | 3885382113 |
Staff View
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| 245 | 1 | 0 | |a On the existence of natural non-topological, fuzzy topological spaces |c R. Lowen |
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Record in the Search Index
| _version_ | 1804114899231571968 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION vi
1. AN INTRODUCTION TO ABSTRACT FUZZY TOPOLOGY
1.1. Notations and elementary definitions 1
1.2. Basic structures 3
1.3. Categorical reflections 9
1.4. Convergence 18
1.5. Fuzzy topological properties 23
2. SPACES OF PROBABILITY MEASURES ON A SEPARABLE METRIZABLE SPACE
2.1. Construction and fundamental properties 31
2.2. Topological modification and a level spaces 4 1
2.3. An analysis of some subspaces of M(X) and M (X) 44
2.4. Compactness, Prohorov s theorem and separation 49
3. SPACES OF RADON PROBABILITY MEASURES ON A LINEARLY ORDERED SPACE
3.1. Construction and fundamental properties 70
3.2. Topological modification 32
3.3. The case X = K and the fuzzy real line 88
3.4. The a level spaces of the fuzzy real line 92
3.5. Compactness and separation in the fuzzy real line 104
3.6. The case X = {0,1} : a justification of the fundamentals
of fuzzy sets 114
4. SPACES OF (UPPER SEMICONTINUOUS) FUNCTIONS ON A UNIFORM SPACE
4.1. Construction and fundamental properties 122
4.2. Characterization of convergence in $ , (X) 136
4.3. Characterization of the uniform modification and of the
a level uniformities 147
4.4. Compactness, precompactness and separation 157
4.5. A Lagrange type interpolation theorem 165
4.6. Extension theorems 171
REFERENCES 176
|
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| id | DE-604.BV000438928 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:03Z |
| institution | BVB |
| isbn | 3885382113 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000271889 |
| oclc_num | 13016464 |
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| physical | XVI, 183 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Heldermann |
| record_format | marc |
| series | Research and exposition in mathematics |
| series2 | Research and exposition in mathematics |
| spelling | Lowen, Robert Verfasser aut On the existence of natural non-topological, fuzzy topological spaces R. Lowen Berlin Heldermann 1985 XVI, 183 S. txt rdacontent n rdamedia nc rdacarrier Research and exposition in mathematics 11 Fuzzy sets Topological spaces Fuzzy-Topologie (DE-588)4121833-4 gnd rswk-swf Fuzzy-Topologie (DE-588)4121833-4 s DE-604 Research and exposition in mathematics 11 (DE-604)BV000017533 11 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000271889&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lowen, Robert On the existence of natural non-topological, fuzzy topological spaces Research and exposition in mathematics Fuzzy sets Topological spaces Fuzzy-Topologie (DE-588)4121833-4 gnd |
| subject_GND | (DE-588)4121833-4 |
| title | On the existence of natural non-topological, fuzzy topological spaces |
| title_auth | On the existence of natural non-topological, fuzzy topological spaces |
| title_exact_search | On the existence of natural non-topological, fuzzy topological spaces |
| title_full | On the existence of natural non-topological, fuzzy topological spaces R. Lowen |
| title_fullStr | On the existence of natural non-topological, fuzzy topological spaces R. Lowen |
| title_full_unstemmed | On the existence of natural non-topological, fuzzy topological spaces R. Lowen |
| title_short | On the existence of natural non-topological, fuzzy topological spaces |
| title_sort | on the existence of natural non topological fuzzy topological spaces |
| topic | Fuzzy sets Topological spaces Fuzzy-Topologie (DE-588)4121833-4 gnd |
| topic_facet | Fuzzy sets Topological spaces Fuzzy-Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000271889&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000017533 |
| work_keys_str_mv | AT lowenrobert ontheexistenceofnaturalnontopologicalfuzzytopologicalspaces |