{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T16:02:29Z","timestamp":1773676949035,"version":"3.50.1"},"publisher-location":"Providence, Rhode Island","reference-count":14,"publisher":"American Mathematical Society","isbn-type":[{"value":"9781470448974","type":"print"},{"value":"9781470466459","type":"print"},{"value":"9781470464202","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"abstract":"<p>\n                    In this paper we present two infinite families of locally toroidal hypertopes of rank\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"4\">\n                        <mml:semantics>\n                          <mml:mn>4<\/mml:mn>\n                          <mml:annotation encoding=\"application\/x-tex\">4<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    that are constructed from regular toroids of types\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"left-brace 4 comma 3 comma 4 right-brace Subscript left-parenthesis s comma s comma 0 right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mo fence=\"false\" stretchy=\"false\">{<\/mml:mo>\n                            <mml:mn>4<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>4<\/mml:mn>\n                            <mml:msub>\n                              <mml:mo fence=\"false\" stretchy=\"false\">}<\/mml:mo>\n                              <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                                <mml:mo stretchy=\"false\">(<\/mml:mo>\n                                <mml:mi>s<\/mml:mi>\n                                <mml:mo>,<\/mml:mo>\n                                <mml:mi>s<\/mml:mi>\n                                <mml:mo>,<\/mml:mo>\n                                <mml:mn>0<\/mml:mn>\n                                <mml:mo stretchy=\"false\">)<\/mml:mo>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\{4,3,4\\}_{(s,s,0)}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    and\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"left-brace 3 comma 3 comma 4 comma 3 right-brace Subscript left-parenthesis s comma 0 comma 0 comma 0 right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mo fence=\"false\" stretchy=\"false\">{<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>4<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:msub>\n                              <mml:mo fence=\"false\" stretchy=\"false\">}<\/mml:mo>\n                              <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                                <mml:mo stretchy=\"false\">(<\/mml:mo>\n                                <mml:mi>s<\/mml:mi>\n                                <mml:mo>,<\/mml:mo>\n                                <mml:mn>0<\/mml:mn>\n                                <mml:mo>,<\/mml:mo>\n                                <mml:mn>0<\/mml:mn>\n                                <mml:mo>,<\/mml:mo>\n                                <mml:mn>0<\/mml:mn>\n                                <mml:mo stretchy=\"false\">)<\/mml:mo>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\{3,3,4,3\\}_{(s,0,0,0)}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . The Coxeter diagram of the first of the two families is star-shaped and the diagram of the other is a square. In both cases the toroidal residues are regular toroidal maps of type\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"StartSet 3 comma 6 EndSet\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mo fence=\"false\" stretchy=\"false\">{<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>6<\/mml:mn>\n                            <mml:mo fence=\"false\" stretchy=\"false\">}<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\{3,6\\}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    .\n                  <\/p>","DOI":"10.1090\/conm\/764\/15331","type":"other","created":{"date-parts":[[2021,4,5]],"date-time":"2021-04-05T13:23:45Z","timestamp":1617629025000},"page":"89-100","source":"Crossref","is-referenced-by-count":1,"title":["Two families of locally toroidal regular 4-hypertopes arising from toroids"],"prefix":"10.1090","author":[{"given":"Maria","family":"Fernandes","sequence":"first","affiliation":[]},{"given":"Dimitri","family":"Leemans","sequence":"additional","affiliation":[]},{"given":"Claudio Alexandre","family":"Piedade","sequence":"additional","affiliation":[]},{"given":"Asia","family":"Weiss","sequence":"additional","affiliation":[]}],"member":"14","reference":[{"issue":"1","key":"1","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/BF00182268","article-title":"Flag structures on Tits geometries","volume":"14","author":"Aschbacher, Michael","year":"1983","journal-title":"Geom. 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