Loading…
Epireflective subcategories of TOP, T2UNIF, UNIF, closed under epimorphic images, or being algebraic
The epireflective subcategories of Top , that are closed under epimorphic (or bimorphic) images, are { X ∣ | X | ≤ 1 } , { X ∣ X is indiscrete } and Top . The epireflective subcategories of T 2 Unif , closed under epimorphic images, are: { X ∣ | X | ≤ 1 } , { X ∣ X is compact T 2 } , { X ∣ covering...
Saved in:
| Published in: | Periodica mathematica Hungarica 2016-06, Vol.72 (2), p.112-129 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| cited_by | |
|---|---|
| cites | |
| container_end_page | 129 |
| container_issue | 2 |
| container_start_page | 112 |
| container_title | Periodica mathematica Hungarica |
| container_volume | 72 |
| creator | Makai, Endre |
| description | The epireflective subcategories of
Top
, that are closed under epimorphic (or bimorphic) images, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
and
Top
. The epireflective subcategories of
T
2
Unif
, closed under epimorphic images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is compact
T
2
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
T
2
Unif
. The epireflective subcategories of
Unif
, closed under epimorphic (or bimorphic) images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
Unif
. The epireflective subcategories of
Top
, that are algebraic categories, are
{
X
∣
|
X
|
≤
1
}
, and
{
X
∣
X
is indiscrete
}
. The subcategories of
Unif
, closed under products and closed subspaces and being varietal, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
X
is compact
T
2
}
. The subcategories of
Unif
, closed under products and closed subspaces and being algebraic, are
{
X
∣
X
is indiscrete
}
, and all epireflective subcategories of
{
X
∣
X
is compact
T
2
}
. Also we give a sharpened form of a theorem of Kannan-Soundararajan about classes of
T
3
spaces, closed for products, closed subspaces and surjective images. |
| doi_str_mv | 10.1007/s10998-016-0110-y |
| format | article |
| fullrecord | <record><control><sourceid>springer</sourceid><recordid>TN_cdi_springer_journals_10_1007_s10998_016_0110_y</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1007_s10998_016_0110_y</sourcerecordid><originalsourceid>FETCH-LOGICAL-s128t-62cbf11e01ffbf8359d0c2132b0c648f1e26f57fb1401aa552f8d599943a67ad3</originalsourceid><addsrcrecordid>eNotkEFPAjEQhRujiYj-AG_9AVRnWnbpHg0BNSHiAc5N252uJQu7acGEf-8SPLz3Tu_N5GPsGeEFAWavGaGqtAAsByGI8w0bYaG1kFpWt2wEoFAUCtQ9e8h5BzC0FIxYvehjotCSP8Zf4vnkvD1S06VImXeBb9bfE76R26_P5YRf3bddppqfDjUlTn3cd6n_iZ7HvW0oT3iXuKN4aLhtG3LJRv_I7oJtMz3955htl4vN_EOs1u-f87eVyCj1UZTSu4BIgCG4oFVR1eAlKunAl1MdkGQZillwOAW0tihk0HVRVdVU2XJmazVm8rqb-zQ8QMnsulM6DCcNgrlwMldOZuBkLpzMWf0BsWxbRA</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Epireflective subcategories of TOP, T2UNIF, UNIF, closed under epimorphic images, or being algebraic</title><source>Springer Nature</source><creator>Makai, Endre</creator><creatorcontrib>Makai, Endre</creatorcontrib><description>The epireflective subcategories of
Top
, that are closed under epimorphic (or bimorphic) images, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
and
Top
. The epireflective subcategories of
T
2
Unif
, closed under epimorphic images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is compact
T
2
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
T
2
Unif
. The epireflective subcategories of
Unif
, closed under epimorphic (or bimorphic) images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
Unif
. The epireflective subcategories of
Top
, that are algebraic categories, are
{
X
∣
|
X
|
≤
1
}
, and
{
X
∣
X
is indiscrete
}
. The subcategories of
Unif
, closed under products and closed subspaces and being varietal, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
X
is compact
T
2
}
. The subcategories of
Unif
, closed under products and closed subspaces and being algebraic, are
{
X
∣
X
is indiscrete
}
, and all epireflective subcategories of
{
X
∣
X
is compact
T
2
}
. Also we give a sharpened form of a theorem of Kannan-Soundararajan about classes of
T
3
spaces, closed for products, closed subspaces and surjective images.</description><identifier>ISSN: 0031-5303</identifier><identifier>EISSN: 1588-2829</identifier><identifier>DOI: 10.1007/s10998-016-0110-y</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Periodica mathematica Hungarica, 2016-06, Vol.72 (2), p.112-129</ispartof><rights>Akadémiai Kiadó, Budapest, Hungary 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Makai, Endre</creatorcontrib><title>Epireflective subcategories of TOP, T2UNIF, UNIF, closed under epimorphic images, or being algebraic</title><title>Periodica mathematica Hungarica</title><addtitle>Period Math Hung</addtitle><description>The epireflective subcategories of
Top
, that are closed under epimorphic (or bimorphic) images, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
and
Top
. The epireflective subcategories of
T
2
Unif
, closed under epimorphic images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is compact
T
2
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
T
2
Unif
. The epireflective subcategories of
Unif
, closed under epimorphic (or bimorphic) images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
Unif
. The epireflective subcategories of
Top
, that are algebraic categories, are
{
X
∣
|
X
|
≤
1
}
, and
{
X
∣
X
is indiscrete
}
. The subcategories of
Unif
, closed under products and closed subspaces and being varietal, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
X
is compact
T
2
}
. The subcategories of
Unif
, closed under products and closed subspaces and being algebraic, are
{
X
∣
X
is indiscrete
}
, and all epireflective subcategories of
{
X
∣
X
is compact
T
2
}
. Also we give a sharpened form of a theorem of Kannan-Soundararajan about classes of
T
3
spaces, closed for products, closed subspaces and surjective images.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>0031-5303</issn><issn>1588-2829</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNotkEFPAjEQhRujiYj-AG_9AVRnWnbpHg0BNSHiAc5N252uJQu7acGEf-8SPLz3Tu_N5GPsGeEFAWavGaGqtAAsByGI8w0bYaG1kFpWt2wEoFAUCtQ9e8h5BzC0FIxYvehjotCSP8Zf4vnkvD1S06VImXeBb9bfE76R26_P5YRf3bddppqfDjUlTn3cd6n_iZ7HvW0oT3iXuKN4aLhtG3LJRv_I7oJtMz3955htl4vN_EOs1u-f87eVyCj1UZTSu4BIgCG4oFVR1eAlKunAl1MdkGQZillwOAW0tihk0HVRVdVU2XJmazVm8rqb-zQ8QMnsulM6DCcNgrlwMldOZuBkLpzMWf0BsWxbRA</recordid><startdate>20160601</startdate><enddate>20160601</enddate><creator>Makai, Endre</creator><general>Springer Netherlands</general><scope/></search><sort><creationdate>20160601</creationdate><title>Epireflective subcategories of TOP, T2UNIF, UNIF, closed under epimorphic images, or being algebraic</title><author>Makai, Endre</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-s128t-62cbf11e01ffbf8359d0c2132b0c648f1e26f57fb1401aa552f8d599943a67ad3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Makai, Endre</creatorcontrib><jtitle>Periodica mathematica Hungarica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Makai, Endre</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Epireflective subcategories of TOP, T2UNIF, UNIF, closed under epimorphic images, or being algebraic</atitle><jtitle>Periodica mathematica Hungarica</jtitle><stitle>Period Math Hung</stitle><date>2016-06-01</date><risdate>2016</risdate><volume>72</volume><issue>2</issue><spage>112</spage><epage>129</epage><pages>112-129</pages><issn>0031-5303</issn><eissn>1588-2829</eissn><abstract>The epireflective subcategories of
Top
, that are closed under epimorphic (or bimorphic) images, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
and
Top
. The epireflective subcategories of
T
2
Unif
, closed under epimorphic images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is compact
T
2
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
T
2
Unif
. The epireflective subcategories of
Unif
, closed under epimorphic (or bimorphic) images, are:
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
covering character of
X
is
≤
λ
0
}
(where
λ
0
is an infinite cardinal), and
Unif
. The epireflective subcategories of
Top
, that are algebraic categories, are
{
X
∣
|
X
|
≤
1
}
, and
{
X
∣
X
is indiscrete
}
. The subcategories of
Unif
, closed under products and closed subspaces and being varietal, are
{
X
∣
|
X
|
≤
1
}
,
{
X
∣
X
is indiscrete
}
,
{
X
∣
X
is compact
T
2
}
. The subcategories of
Unif
, closed under products and closed subspaces and being algebraic, are
{
X
∣
X
is indiscrete
}
, and all epireflective subcategories of
{
X
∣
X
is compact
T
2
}
. Also we give a sharpened form of a theorem of Kannan-Soundararajan about classes of
T
3
spaces, closed for products, closed subspaces and surjective images.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10998-016-0110-y</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0031-5303 |
| ispartof | Periodica mathematica Hungarica, 2016-06, Vol.72 (2), p.112-129 |
| issn | 0031-5303 1588-2829 |
| language | eng |
| recordid | cdi_springer_journals_10_1007_s10998_016_0110_y |
| source | Springer Nature |
| subjects | Mathematics Mathematics and Statistics |
| title | Epireflective subcategories of TOP, T2UNIF, UNIF, closed under epimorphic images, or being algebraic |
| url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T03%3A51%3A12IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-springer&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Epireflective%20subcategories%20of%20TOP,%20T2UNIF,%20UNIF,%20closed%20under%20epimorphic%20images,%20or%20being%20algebraic&rft.jtitle=Periodica%20mathematica%20Hungarica&rft.au=Makai,%20Endre&rft.date=2016-06-01&rft.volume=72&rft.issue=2&rft.spage=112&rft.epage=129&rft.pages=112-129&rft.issn=0031-5303&rft.eissn=1588-2829&rft_id=info:doi/10.1007/s10998-016-0110-y&rft_dat=%3Cspringer%3E10_1007_s10998_016_0110_y%3C/springer%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-s128t-62cbf11e01ffbf8359d0c2132b0c648f1e26f57fb1401aa552f8d599943a67ad3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |